Sasi Math (Revised for 1024)

Scroll:Measurement >> Area & Circumference of Circle >> ps (1829)

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.

The figure shows 2 identical semi-circles with a diameter of x cm. If x = 77 cm. Find the area of shaded region, A. (Take π = $\frac{22}{7)}$

Answer:_______________

The figure shows 2 identical semi-circles with a diameter of x cm. If x = 63 cm. Find the area of shaded region, A. (Take π = $\frac{22}{7)}$

Answer:_______________

The figure shows 2 identical semi-circles with a diameter of x cm. If x = 56 cm. Find the area of shaded region, A. (Take π = $\frac{22}{7)}$

Answer:_______________

The figure shows 2 identical semi-circles with a diameter of x cm. If x = 35 cm. Find the area of shaded region, A. (Take π = $\frac{22}{7)}$

Answer:_______________

The figure shows 2 identical semi-circles with a diameter of x cm. If x = 42 cm. Find the area of shaded region, A. (Take π = $\frac{22}{7)}$

Answer:_______________

The figure shows 2 identical semi-circles with a diameter of x cm. If x = 28 cm. Find the area of shaded region, A. (Take π = $\frac{22}{7)}$

Answer:_______________

The figure shows 2 identical semi-circles with a diameter of x cm. If x = 70 cm. Find the area of shaded region, A. (Take π = $\frac{22}{7)}$

Answer:_______________

The figure shows 2 identical semi-circles with a diameter of x cm. If x = 14 cm. Find the area of shaded region, A. (Take π = $\frac{22}{7)}$

Answer:_______________

The figure shows 2 identical semi-circles with a diameter of x cm. If x = 49 cm. Find the area of shaded region, A. (Take π = $\frac{22}{7)}$

Answer:_______________

10)

The figure shows 2 identical semi-circles with a diameter of x cm. If x = 21 cm. Find the area of shaded region, A. (Take π = $\frac{22}{7)}$

Answer:_______________

The figure shows 2 identical semi-circles with a diameter of x cm. If x = 77 cm. Find the area of shaded region, A. (Take π = $\frac{22}{7)}$

Answer: 847

SOLUTION 1 :

Step 1: Radius of quadrant = 77 ÷ 2

= 38.5 cm

Step 2: Area of quadrant = $\frac{1}{4}$ x π x r² = $\frac{1}{4}$ x $\frac{22}{7}$ x ²

= 1164.625 cm²

Step 3: Area of square = 38.5 x 38.5
= 1482.25 cm²

Step 4: Area of B = Area of square - Area of quadrant
= 1482.25 - 1164.625
= 317.625 cm²

Step 5: Shaded area A = 1482.25 - 317.625 - 317.625
= 847 cm²

The figure shows 2 identical semi-circles with a diameter of x cm. If x = 63 cm. Find the area of shaded region, A. (Take π = $\frac{22}{7)}$

Answer: 567

SOLUTION 1 :

Step 1: Radius of quadrant = 63 ÷ 2

= 31.5 cm

Step 2: Area of quadrant = $\frac{1}{4}$ x π x r² = $\frac{1}{4}$ x $\frac{22}{7}$ x ²

= 779.625 cm²

Step 3: Area of square = 31.5 x 31.5
= 992.25 cm²

Step 4: Area of B = Area of square - Area of quadrant
= 992.25 - 779.625
= 212.625 cm²

Step 5: Shaded area A = 992.25 - 212.625 - 212.625
= 567 cm²

The figure shows 2 identical semi-circles with a diameter of x cm. If x = 56 cm. Find the area of shaded region, A. (Take π = $\frac{22}{7)}$

Answer: 448

SOLUTION 1 :

Step 1: Radius of quadrant = 56 ÷ 2

= 28 cm

Step 2: Area of quadrant = $\frac{1}{4}$ x π x r² = $\frac{1}{4}$ x $\frac{22}{7}$ x ²

= 616 cm²

Step 3: Area of square = 28 x 28
= 784 cm²

Step 4: Area of B = Area of square - Area of quadrant
= 784 - 616
= 168 cm²

Step 5: Shaded area A = 784 - 168 - 168
= 448 cm²

The figure shows 2 identical semi-circles with a diameter of x cm. If x = 35 cm. Find the area of shaded region, A. (Take π = $\frac{22}{7)}$

Answer: 175

SOLUTION 1 :

Step 1: Radius of quadrant = 35 ÷ 2

= 17.5 cm

Step 2: Area of quadrant = $\frac{1}{4}$ x π x r² = $\frac{1}{4}$ x $\frac{22}{7}$ x ²

= 240.625 cm²

Step 3: Area of square = 17.5 x 17.5
= 306.25 cm²

Step 4: Area of B = Area of square - Area of quadrant
= 306.25 - 240.625
= 65.625 cm²

Step 5: Shaded area A = 306.25 - 65.625 - 65.625
= 175 cm²

The figure shows 2 identical semi-circles with a diameter of x cm. If x = 42 cm. Find the area of shaded region, A. (Take π = $\frac{22}{7)}$

Answer: 252

SOLUTION 1 :

Step 1: Radius of quadrant = 42 ÷ 2

= 21 cm

Step 2: Area of quadrant = $\frac{1}{4}$ x π x r² = $\frac{1}{4}$ x $\frac{22}{7}$ x ²

= 346.5 cm²

Step 3: Area of square = 21 x 21
= 441 cm²

Step 4: Area of B = Area of square - Area of quadrant
= 441 - 346.5
= 94.5 cm²

Step 5: Shaded area A = 441 - 94.5 - 94.5
= 252 cm²

The figure shows 2 identical semi-circles with a diameter of x cm. If x = 28 cm. Find the area of shaded region, A. (Take π = $\frac{22}{7)}$

Answer: 112

SOLUTION 1 :

Step 1: Radius of quadrant = 28 ÷ 2

= 14 cm

Step 2: Area of quadrant = $\frac{1}{4}$ x π x r² = $\frac{1}{4}$ x $\frac{22}{7}$ x ²

= 154 cm²

Step 3: Area of square = 14 x 14
= 196 cm²

Step 4: Area of B = Area of square - Area of quadrant
= 196 - 154
= 42 cm²

Step 5: Shaded area A = 196 - 42 - 42
= 112 cm²

The figure shows 2 identical semi-circles with a diameter of x cm. If x = 70 cm. Find the area of shaded region, A. (Take π = $\frac{22}{7)}$

Answer: 700

SOLUTION 1 :

Step 1: Radius of quadrant = 70 ÷ 2

= 35 cm

Step 2: Area of quadrant = $\frac{1}{4}$ x π x r² = $\frac{1}{4}$ x $\frac{22}{7}$ x ²

= 962.5 cm²

Step 3: Area of square = 35 x 35
= 1225 cm²

Step 4: Area of B = Area of square - Area of quadrant
= 1225 - 962.5
= 262.5 cm²

Step 5: Shaded area A = 1225 - 262.5 - 262.5
= 700 cm²

The figure shows 2 identical semi-circles with a diameter of x cm. If x = 14 cm. Find the area of shaded region, A. (Take π = $\frac{22}{7)}$

Answer: 28

SOLUTION 1 :

Step 1: Radius of quadrant = 14 ÷ 2

= 7 cm

Step 2: Area of quadrant = $\frac{1}{4}$ x π x r² = $\frac{1}{4}$ x $\frac{22}{7}$ x ²

= 38.5 cm²

Step 3: Area of square = 7 x 7
= 49 cm²

Step 4: Area of B = Area of square - Area of quadrant
= 49 - 38.5
= 10.5 cm²

Step 5: Shaded area A = 49 - 10.5 - 10.5
= 28 cm²

The figure shows 2 identical semi-circles with a diameter of x cm. If x = 49 cm. Find the area of shaded region, A. (Take π = $\frac{22}{7)}$

Answer: 343

SOLUTION 1 :

Step 1: Radius of quadrant = 49 ÷ 2

= 24.5 cm

Step 2: Area of quadrant = $\frac{1}{4}$ x π x r² = $\frac{1}{4}$ x $\frac{22}{7}$ x ²

= 471.625 cm²

Step 3: Area of square = 24.5 x 24.5
= 600.25 cm²

Step 4: Area of B = Area of square - Area of quadrant
= 600.25 - 471.625
= 128.625 cm²

Step 5: Shaded area A = 600.25 - 128.625 - 128.625
= 343 cm²

10)

The figure shows 2 identical semi-circles with a diameter of x cm. If x = 21 cm. Find the area of shaded region, A. (Take π = $\frac{22}{7)}$

Answer: 63

SOLUTION 1 :

Step 1: Radius of quadrant = 21 ÷ 2

= 10.5 cm

Step 2: Area of quadrant = $\frac{1}{4}$ x π x r² = $\frac{1}{4}$ x $\frac{22}{7}$ x ²

= 86.625 cm²

Step 3: Area of square = 10.5 x 10.5
= 110.25 cm²

Step 4: Area of B = Area of square - Area of quadrant
= 110.25 - 86.625
= 23.625 cm²

Step 5: Shaded area A = 110.25 - 23.625 - 23.625
= 63 cm²