Scroll:Measurement >> Area & Circumference of Circle >> ps (1791)

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1)  

The figure is made up of a big circle and 2 small circles with diameter of 26 cm and 14 cm respectively. 

Find the perimeter and area of the shaded part, rounding off your answers to the nearest whole number. 

π = 3.142

AB = 26 cm, CD = 14 cm

cm

cm2



Answer:_______________




2)  

The figure is made up of a big circle and 2 small circles with radii of 34 cm and 17 cm respectively. 

Find the perimeter and area of the shaded part, rounding off your answers to the nearest whole number. 

π = 3.142

AB = CD, therefore AB = 34 cm.

cm

cm2



Answer:_______________




3)  

The figure is made up of a big circle and 2 small circles with diameter of 26 cm and 4 cm respectively. 

Find the perimeter and area of the shaded part, rounding off your answers to the nearest whole number. 

π = 3.142

AB = 26 cm, CD = 4 cm

cm

cm2



Answer:_______________




4)  

The figure is made up of a big circle and 2 small circles with radii of 22 cm and 11 cm respectively. 

Find the perimeter and area of the shaded part, rounding off your answers to the nearest whole number. 

π = 3.142

AB = CD, therefore AB = 22 cm.

cm

cm2



Answer:_______________




5)  

The figure is made up of a big circle and 2 small circles with diameter of 18 cm and 10 cm respectively. 

Find the perimeter and area of the shaded part, rounding off your answers to the nearest whole number. 

π = 3.142

AB = 18 cm, CD = 10 cm

cm

cm2



Answer:_______________




6)  

The figure is made up of a big circle and 2 small circles with radii of 44 cm and 22 cm respectively. 

Find the perimeter and area of the shaded part, rounding off your answers to the nearest whole number. 

π = 3.142

AB = CD, therefore AB = 44 cm.

cm

cm2



Answer:_______________




7)  

The figure is made up of a big circle and 2 small circles with diameter of 22 cm and 12 cm respectively. 

Find the perimeter and area of the shaded part, rounding off your answers to the nearest whole number. 

π = 3.142

AB = 22 cm, CD = 12 cm

cm

cm2



Answer:_______________




8)  

The figure is made up of a big circle and 2 small circles with radii of 60 cm and 30 cm respectively. 

Find the perimeter and area of the shaded part, rounding off your answers to the nearest whole number. 

π = 3.142

AB = CD, therefore AB = 60 cm.

cm

cm2



Answer:_______________




9)  

The figure is made up of a big circle and 2 small circles with diameter of 16 cm and 12 cm respectively. 

Find the perimeter and area of the shaded part, rounding off your answers to the nearest whole number. 

π = 3.142

AB = 16 cm, CD = 12 cm

cm

cm2



Answer:_______________




10)  

The figure is made up of a big circle and 2 small circles with radii of 52 cm and 26 cm respectively. 

Find the perimeter and area of the shaded part, rounding off your answers to the nearest whole number. 

π = 3.142

AB = CD, therefore AB = 52 cm.

cm

cm2



Answer:_______________




 

1)  

The figure is made up of a big circle and 2 small circles with diameter of 26 cm and 14 cm respectively. 

Find the perimeter and area of the shaded part, rounding off your answers to the nearest whole number. 

π = 3.142

AB = 26 cm, CD = 14 cm

Answer: 251 cm

Answer: 572 cm2



SOLUTION 1 :

Step 1: Circumference of big circle → π x 40 cm

                                                         = 125.68 cm

Step 2: Circumference of medium circle → π x 26 cm

                                                                 = 81.692 cm

Step 3: Circumference of small circle → π x 14 cm

                                                            = 43.988 cm

Step 4: Perimeter of shaded part → 125.68 cm + 81.692 cm + 43.988 cm

                                                      = 251.360 cm

                                                      ≈ 251 cm

Step 5: Area of big circle → π x 20 cm  x 20 cm

                                          = 1256.8 cm2

Step 6: Area of medium circle → π x 13 cm x 13 cm

                                                 = 530.998 cm2

Step 7: Area of small circle → π x 7 cm x 7 cm

                                            = 153.958 cm2

Step 8: Area of shaded part → 1256.8 cm2 - 530.998 cm2  - 153.958 cm2

                                             = 571.844 cm2 

                                             ≈ 572 cm2



2)  

The figure is made up of a big circle and 2 small circles with radii of 34 cm and 17 cm respectively. 

Find the perimeter and area of the shaded part, rounding off your answers to the nearest whole number. 

π = 3.142

AB = CD, therefore AB = 34 cm.

Answer: 427 cm

Answer: 1816 cm2



SOLUTION 1 :

Step 1: Circumference of big circle → π x 68 cm

                                                        = 213.656 cm

Step 2: Circumference of 2 small circles → 2 x π x 34 cm

                                                                 = 213.656 cm

Step 3: Perimeter of shaded part → 213.656 cm + 213.656 cm

                                                     = 427.312 cm

                                                     ≈ 427 cm

Step 4: Area of big circle → π x 34 cm  x 34 cm

                                         = 3632.152 cm2

Step 5: Area of 2 small circles →2 x π x 17 cm x 17 cm

                                                 = 1816.076 cm2

Step 6: Area of shaded part → 3632.152 cm2 - 1816.076 cm2

                                             = 1816.076 cm2 

                                             ≈ 1816 cm2



3)  

The figure is made up of a big circle and 2 small circles with diameter of 26 cm and 4 cm respectively. 

Find the perimeter and area of the shaded part, rounding off your answers to the nearest whole number. 

π = 3.142

AB = 26 cm, CD = 4 cm

Answer: 189 cm

Answer: 163 cm2



SOLUTION 1 :

Step 1: Circumference of big circle → π x 30 cm

                                                         = 94.26 cm

Step 2: Circumference of medium circle → π x 26 cm

                                                                 = 81.692 cm

Step 3: Circumference of small circle → π x 4 cm

                                                            = 12.568 cm

Step 4: Perimeter of shaded part → 94.26 cm + 81.692 cm + 12.568 cm

                                                      = 188.520 cm

                                                      ≈ 189 cm

Step 5: Area of big circle → π x 15 cm  x 15 cm

                                          = 706.95 cm2

Step 6: Area of medium circle → π x 13 cm x 13 cm

                                                 = 530.998 cm2

Step 7: Area of small circle → π x 2 cm x 2 cm

                                            = 12.568 cm2

Step 8: Area of shaded part → 706.95 cm2 - 530.998 cm2  - 12.568 cm2

                                             = 163.384 cm2 

                                             ≈ 163 cm2



4)  

The figure is made up of a big circle and 2 small circles with radii of 22 cm and 11 cm respectively. 

Find the perimeter and area of the shaded part, rounding off your answers to the nearest whole number. 

π = 3.142

AB = CD, therefore AB = 22 cm.

Answer: 276 cm

Answer: 760 cm2



SOLUTION 1 :

Step 1: Circumference of big circle → π x 44 cm

                                                        = 138.248 cm

Step 2: Circumference of 2 small circles → 2 x π x 22 cm

                                                                 = 138.248 cm

Step 3: Perimeter of shaded part → 138.248 cm + 138.248 cm

                                                     = 276.496 cm

                                                     ≈ 276 cm

Step 4: Area of big circle → π x 22 cm  x 22 cm

                                         = 1520.728 cm2

Step 5: Area of 2 small circles →2 x π x 11 cm x 11 cm

                                                 = 760.364 cm2

Step 6: Area of shaded part → 1520.728 cm2 - 760.364 cm2

                                             = 760.364 cm2 

                                             ≈ 760 cm2



5)  

The figure is made up of a big circle and 2 small circles with diameter of 18 cm and 10 cm respectively. 

Find the perimeter and area of the shaded part, rounding off your answers to the nearest whole number. 

π = 3.142

AB = 18 cm, CD = 10 cm

Answer: 176 cm

Answer: 283 cm2



SOLUTION 1 :

Step 1: Circumference of big circle → π x 28 cm

                                                         = 87.976 cm

Step 2: Circumference of medium circle → π x 18 cm

                                                                 = 56.556 cm

Step 3: Circumference of small circle → π x 10 cm

                                                            = 31.42 cm

Step 4: Perimeter of shaded part → 87.976 cm + 56.556 cm + 31.42 cm

                                                      = 175.952 cm

                                                      ≈ 176 cm

Step 5: Area of big circle → π x 14 cm  x 14 cm

                                          = 615.832 cm2

Step 6: Area of medium circle → π x 9 cm x 9 cm

                                                 = 254.502 cm2

Step 7: Area of small circle → π x 5 cm x 5 cm

                                            = 78.55 cm2

Step 8: Area of shaded part → 615.832 cm2 - 254.502 cm2  - 78.55 cm2

                                             = 282.780 cm2 

                                             ≈ 283 cm2



6)  

The figure is made up of a big circle and 2 small circles with radii of 44 cm and 22 cm respectively. 

Find the perimeter and area of the shaded part, rounding off your answers to the nearest whole number. 

π = 3.142

AB = CD, therefore AB = 44 cm.

Answer: 553 cm

Answer: 3041 cm2



SOLUTION 1 :

Step 1: Circumference of big circle → π x 88 cm

                                                        = 276.496 cm

Step 2: Circumference of 2 small circles → 2 x π x 44 cm

                                                                 = 276.496 cm

Step 3: Perimeter of shaded part → 276.496 cm + 276.496 cm

                                                     = 552.992 cm

                                                     ≈ 553 cm

Step 4: Area of big circle → π x 44 cm  x 44 cm

                                         = 6082.912 cm2

Step 5: Area of 2 small circles →2 x π x 22 cm x 22 cm

                                                 = 3041.456 cm2

Step 6: Area of shaded part → 6082.912 cm2 - 3041.456 cm2

                                             = 3041.456 cm2 

                                             ≈ 3041 cm2



7)  

The figure is made up of a big circle and 2 small circles with diameter of 22 cm and 12 cm respectively. 

Find the perimeter and area of the shaded part, rounding off your answers to the nearest whole number. 

π = 3.142

AB = 22 cm, CD = 12 cm

Answer: 214 cm

Answer: 415 cm2



SOLUTION 1 :

Step 1: Circumference of big circle → π x 34 cm

                                                         = 106.828 cm

Step 2: Circumference of medium circle → π x 22 cm

                                                                 = 69.124 cm

Step 3: Circumference of small circle → π x 12 cm

                                                            = 37.704 cm

Step 4: Perimeter of shaded part → 106.828 cm + 69.124 cm + 37.704 cm

                                                      = 213.656 cm

                                                      ≈ 214 cm

Step 5: Area of big circle → π x 17 cm  x 17 cm

                                          = 908.038 cm2

Step 6: Area of medium circle → π x 11 cm x 11 cm

                                                 = 380.182 cm2

Step 7: Area of small circle → π x 6 cm x 6 cm

                                            = 113.112 cm2

Step 8: Area of shaded part → 908.038 cm2 - 380.182 cm2  - 113.112 cm2

                                             = 414.744 cm2 

                                             ≈ 415 cm2



8)  

The figure is made up of a big circle and 2 small circles with radii of 60 cm and 30 cm respectively. 

Find the perimeter and area of the shaded part, rounding off your answers to the nearest whole number. 

π = 3.142

AB = CD, therefore AB = 60 cm.

Answer: 754 cm

Answer: 5656 cm2



SOLUTION 1 :

Step 1: Circumference of big circle → π x 120 cm

                                                        = 377.040 cm

Step 2: Circumference of 2 small circles → 2 x π x 60 cm

                                                                 = 377.040 cm

Step 3: Perimeter of shaded part → 377.040 cm + 377.040 cm

                                                     = 754.080 cm

                                                     ≈ 754 cm

Step 4: Area of big circle → π x 60 cm  x 60 cm

                                         = 11311.2 cm2

Step 5: Area of 2 small circles →2 x π x 30 cm x 30 cm

                                                 = 5655.6 cm2

Step 6: Area of shaded part → 11311.2 cm2 - 5655.6 cm2

                                             = 5655.600 cm2 

                                             ≈ 5656 cm2



9)  

The figure is made up of a big circle and 2 small circles with diameter of 16 cm and 12 cm respectively. 

Find the perimeter and area of the shaded part, rounding off your answers to the nearest whole number. 

π = 3.142

AB = 16 cm, CD = 12 cm

Answer: 176 cm

Answer: 302 cm2



SOLUTION 1 :

Step 1: Circumference of big circle → π x 28 cm

                                                         = 87.976 cm

Step 2: Circumference of medium circle → π x 16 cm

                                                                 = 50.272 cm

Step 3: Circumference of small circle → π x 12 cm

                                                            = 37.704 cm

Step 4: Perimeter of shaded part → 87.976 cm + 50.272 cm + 37.704 cm

                                                      = 175.952 cm

                                                      ≈ 176 cm

Step 5: Area of big circle → π x 14 cm  x 14 cm

                                          = 615.832 cm2

Step 6: Area of medium circle → π x 8 cm x 8 cm

                                                 = 201.088 cm2

Step 7: Area of small circle → π x 6 cm x 6 cm

                                            = 113.112 cm2

Step 8: Area of shaded part → 615.832 cm2 - 201.088 cm2  - 113.112 cm2

                                             = 301.632 cm2 

                                             ≈ 302 cm2



10)  

The figure is made up of a big circle and 2 small circles with radii of 52 cm and 26 cm respectively. 

Find the perimeter and area of the shaded part, rounding off your answers to the nearest whole number. 

π = 3.142

AB = CD, therefore AB = 52 cm.

Answer: 654 cm

Answer: 4248 cm2



SOLUTION 1 :

Step 1: Circumference of big circle → π x 104 cm

                                                        = 326.768 cm

Step 2: Circumference of 2 small circles → 2 x π x 52 cm

                                                                 = 326.768 cm

Step 3: Perimeter of shaded part → 326.768 cm + 326.768 cm

                                                     = 653.536 cm

                                                     ≈ 654 cm

Step 4: Area of big circle → π x 52 cm  x 52 cm

                                         = 8495.968 cm2

Step 5: Area of 2 small circles →2 x π x 26 cm x 26 cm

                                                 = 4247.984 cm2

Step 6: Area of shaded part → 8495.968 cm2 - 4247.984 cm2

                                             = 4247.984 cm2 

                                             ≈ 4248 cm2