Scroll:Measurement >> Area & Perimeter of Composite Figure >> ps (1373)
Written Instructions:
For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..
For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.
Leave your answers in the simplest form or correct to two decimal places.
| 1) Find the shaded area, rounding off your answer to the nearest whole number. Π = 3.142
34cm ___cm2 Answer:_______________ |
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34cm| 2) Find the shaded area, rounding off your answer to the nearest whole number. Π = 3.142
38cm ___cm2 Answer:_______________ |
| 3) Find the shaded area, rounding off your answer to the nearest whole number. Π = 3.142
10cm ___cm2 Answer:_______________ |
| 4) Find the shaded area, rounding off your answer to the nearest whole number. Π = 3.142
12cm ___cm2 Answer:_______________ |
| 5) Find the shaded area, rounding off your answer to the nearest whole number. Π = 3.142
40cm ___cm2 Answer:_______________ |
| 6) Find the shaded area, rounding off your answer to the nearest whole number. Π = 3.142
18cm ___cm2 Answer:_______________ |
| 7) Find the shaded area, rounding off your answer to the nearest whole number. Π = 3.142
22cm ___cm2 Answer:_______________ |
| 8) Find the shaded area, rounding off your answer to the nearest whole number. Π = 3.142
32cm ___cm2 Answer:_______________ |
| 9) Find the shaded area, rounding off your answer to the nearest whole number. Π = 3.142
16cm ___cm2 Answer:_______________ |
| 10) Find the shaded area, rounding off your answer to the nearest whole number. Π = 3.142
20cm ___cm2 Answer:_______________ |
| 1) Find the shaded area, rounding off your answer to the nearest whole number. Π = 3.142
34cm Answer: 537cm2 SOLUTION 1 : Step 1: Diameter = 34cm Radius = 34 ÷ 2 = 17cm Step 2: Area of square = 34 x 34 = 1156cm2 Step 3: Area of circle = π x r x r = π x 17 x 17 = 908.038cm2 Step 3: Area of triangle = x b x h = x 17 x 17 = 144.5cm2 Step 4: Area of 2 triangles = 144.5 x 2 = 289cm2 Step 5: Area of shaded part = (square - circle) + triangle = (1156 - 908.038) + 289 = 536.962cm2 ≈ 537cm2 |
| 2) Find the shaded area, rounding off your answer to the nearest whole number. Π = 3.142
38cm Answer: 671cm2 SOLUTION 1 : Step 1: Diameter = 38cm Radius = 38 ÷ 2 = 19cm Step 2: Area of square = 38 x 38 = 1444cm2 Step 3: Area of circle = π x r x r = π x 19 x 19 = 1134.262cm2 Step 3: Area of triangle = x b x h = x 19 x 19 = 180.5cm2 Step 4: Area of 2 triangles = 180.5 x 2 = 361cm2 Step 5: Area of shaded part = (square - circle) + triangle = (1444 - 1134.262) + 361 = 670.738cm2 ≈ 671cm2 |
| 3) Find the shaded area, rounding off your answer to the nearest whole number. Π = 3.142
10cm Answer: 46cm2 SOLUTION 1 : Step 1: Diameter = 10cm Radius = 10 ÷ 2 = 5cm Step 2: Area of square = 10 x 10 = 100cm2 Step 3: Area of circle = π x r x r = π x 5 x 5 = 78.550cm2 Step 3: Area of triangle = x b x h = x 5 x 5 = 12.5cm2 Step 4: Area of 2 triangles = 12.5 x 2 = 25cm2 Step 5: Area of shaded part = (square - circle) + triangle = (100 - 78.550) + 25 = 46.450cm2 ≈ 46cm2 |
| 4) Find the shaded area, rounding off your answer to the nearest whole number. Π = 3.142
12cm Answer: 67cm2 SOLUTION 1 : Step 1: Diameter = 12cm Radius = 12 ÷ 2 = 6cm Step 2: Area of square = 12 x 12 = 144cm2 Step 3: Area of circle = π x r x r = π x 6 x 6 = 113.112cm2 Step 3: Area of triangle = x b x h = x 6 x 6 = 18.0cm2 Step 4: Area of 2 triangles = 18.0 x 2 = 36cm2 Step 5: Area of shaded part = (square - circle) + triangle = (144 - 113.112) + 36 = 66.888cm2 ≈ 67cm2 |
| 5) Find the shaded area, rounding off your answer to the nearest whole number. Π = 3.142
40cm Answer: 743cm2 SOLUTION 1 : Step 1: Diameter = 40cm Radius = 40 ÷ 2 = 20cm Step 2: Area of square = 40 x 40 = 1600cm2 Step 3: Area of circle = π x r x r = π x 20 x 20 = 1256.800cm2 Step 3: Area of triangle = x b x h = x 20 x 20 = 200.0cm2 Step 4: Area of 2 triangles = 200.0 x 2 = 400cm2 Step 5: Area of shaded part = (square - circle) + triangle = (1600 - 1256.800) + 400 = 743.200cm2 ≈ 743cm2 |
| 6) Find the shaded area, rounding off your answer to the nearest whole number. Π = 3.142
18cm Answer: 150cm2 SOLUTION 1 : Step 1: Diameter = 18cm Radius = 18 ÷ 2 = 9cm Step 2: Area of square = 18 x 18 = 324cm2 Step 3: Area of circle = π x r x r = π x 9 x 9 = 254.502cm2 Step 3: Area of triangle = x b x h = x 9 x 9 = 40.5cm2 Step 4: Area of 2 triangles = 40.5 x 2 = 81cm2 Step 5: Area of shaded part = (square - circle) + triangle = (324 - 254.502) + 81 = 150.498cm2 ≈ 150cm2 |
| 7) Find the shaded area, rounding off your answer to the nearest whole number. Π = 3.142
22cm Answer: 225cm2 SOLUTION 1 : Step 1: Diameter = 22cm Radius = 22 ÷ 2 = 11cm Step 2: Area of square = 22 x 22 = 484cm2 Step 3: Area of circle = π x r x r = π x 11 x 11 = 380.182cm2 Step 3: Area of triangle = x b x h = x 11 x 11 = 60.5cm2 Step 4: Area of 2 triangles = 60.5 x 2 = 121cm2 Step 5: Area of shaded part = (square - circle) + triangle = (484 - 380.182) + 121 = 224.818cm2 ≈ 225cm2 |
| 8) Find the shaded area, rounding off your answer to the nearest whole number. Π = 3.142
32cm Answer: 476cm2 SOLUTION 1 : Step 1: Diameter = 32cm Radius = 32 ÷ 2 = 16cm Step 2: Area of square = 32 x 32 = 1024cm2 Step 3: Area of circle = π x r x r = π x 16 x 16 = 804.352cm2 Step 3: Area of triangle = x b x h = x 16 x 16 = 128.0cm2 Step 4: Area of 2 triangles = 128.0 x 2 = 256cm2 Step 5: Area of shaded part = (square - circle) + triangle = (1024 - 804.352) + 256 = 475.648cm2 ≈ 476cm2 |
| 9) Find the shaded area, rounding off your answer to the nearest whole number. Π = 3.142
16cm Answer: 119cm2 SOLUTION 1 : Step 1: Diameter = 16cm Radius = 16 ÷ 2 = 8cm Step 2: Area of square = 16 x 16 = 256cm2 Step 3: Area of circle = π x r x r = π x 8 x 8 = 201.088cm2 Step 3: Area of triangle = x b x h = x 8 x 8 = 32.0cm2 Step 4: Area of 2 triangles = 32.0 x 2 = 64cm2 Step 5: Area of shaded part = (square - circle) + triangle = (256 - 201.088) + 64 = 118.912cm2 ≈ 119cm2 |
| 10) Find the shaded area, rounding off your answer to the nearest whole number. Π = 3.142
20cm Answer: 186cm2 SOLUTION 1 : Step 1: Diameter = 20cm Radius = 20 ÷ 2 = 10cm Step 2: Area of square = 20 x 20 = 400cm2 Step 3: Area of circle = π x r x r = π x 10 x 10 = 314.200cm2 Step 3: Area of triangle = x b x h = x 10 x 10 = 50.0cm2 Step 4: Area of 2 triangles = 50.0 x 2 = 100cm2 Step 5: Area of shaded part = (square - circle) + triangle = (400 - 314.200) + 100 = 185.800cm2 ≈ 186cm2 |