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Worksheets

Exploring Circle Areas

Total questions: 20

Worksheet time: 10mins

Name
Class
Date
1.

What is the area of a circle with a radius of 7 cm?

a)

160.00 cm²

b)

154.00 cm²

c)

153.94 cm²

d)

150.00 cm²

2.

If the area of a circle is 50.24 cm², what is its radius?

a)

6 cm

b)

4 cm

c)

5 cm

d)

3 cm

3.

Calculate the area of a circle with a diameter of 10 m.

a)

100 m²

b)

31.4 m²

c)

50 m²

d)

78.5 m²

4.

A circular garden has a radius of 4 m. What is its area?

a)

12π square meters

b)

8π square meters

c)

20π square meters

d)

16π square meters

5.

Convert the area of a circle from 100 cm² to m².

a)

1 m²

b)

0.01 m²

c)

0.1 m²

d)

10 m²

6.

If the radius of a circle is doubled, how does the area change?

a)

The area decreases by a factor of 2.

b)

The area remains the same.

c)

The area increases by a factor of 3.

d)

The area increases by a factor of 4.

7.

A circular pond has a circumference of 31.4 m. What is its area?

a)

78.5 m²

b)

100.0 m²

c)

62.8 m²

d)

50.3 m²

8.

Find the area of a circle inscribed in a square with a side length of 8 m.

a)

8π m²

b)

32 m²

c)

16π m²

d)

64 m²

9.

If the area of a circle is 78.5 m², what is the diameter?

a)

10 m

b)

20 m

c)

15 m

d)

5 m

10.

Graph the equation of a circle with center (2, -3) and radius 5 on the coordinate plane.

a)

(x - 2)² + (y - 3)² = 5

b)

(x + 2)² + (y - 3)² = 25

c)

(x - 2)² + (y + 3)² = 20

d)

The equation of the circle is (x - 2)² + (y + 3)² = 25.

11.

A circular pizza has a radius of 12 inches. What is its area?

a)

144π square inches

b)

100π square inches

c)

150π square inches

d)

120π square inches

12.

If a circle's area is 154 cm², what is the radius in simplest form?

a)

5 cm

b)

10 cm

c)

8 cm

d)

7 cm

13.

How do you convert an area from square feet to square inches?

a)

Multiply the area in square feet by 144.

b)

Add 12 to the area in square feet.

c)

Multiply the area in square feet by 100.

d)

Divide the area in square feet by 12.

14.

A circular track has a radius of 10 m. What is the area of the track?

a)

50π m²

b)

25π m²

c)

100π m²

d)

200π m²

15.

If a circle has an area of 28.26 m², what is the radius?

a)

4 m

b)

2 m

c)

3 m

d)

5 m

16.

What is the area of a circle with a radius of 3.5 feet?

a)

38.48 square feet

b)

50.24 square feet

c)

12.56 square feet

d)

28.27 square feet

17.

A circular swimming pool has a diameter of 20 ft. What is its area?

a)

200 ft²

b)

25π ft²

c)

100π ft²

d)

50π ft²

18.

If the area of a circle is 314 cm², what is the radius?

a)

20 cm

b)

10 cm

c)

15 cm

d)

5 cm

19.

Graph the circle with the equation (x-1)² + (y+2)² = 16.

a)

Center: (2, -2), Radius: 4

b)

Center: (0, -2), Radius: 5

c)

Center: (1, -2), Radius: 4

d)

Center: (1, -1), Radius: 3

20.

A circular table has a radius of 1.5 m. What is its area?

a)

9.42 m²

b)

3.14 m²

c)

7.07 m²

d)

4.50 m²