1

A sector of a circle with a central angle of 60 degrees has an arc length of 8π feet. Find the radius of the circle.

A) 22 feet

B) 20 feet

C) 24 feet

D) 26 feet

2

A circular pond has a diameter of 10 meters. Calculate the circumference and the length of the arc corresponding to a central angle of 60 degrees.

A) 31.47 m and 5.20 m

B) 31.48 m and 5.29 m

C) 31.49 m and 5.27 m

D) 31.41 m and 5.23 m

3

The circumference of a circle is half of its area. Find the diameter of the circle.

A) 4 units

B) 8 units

C) 7 units

D) 5 units

4

A circular lid has a radius of 10 cm. What is its circumference?

A) 62.83 cm

B) 62.31 cm

C) 62.38 cm

D) 62.13 cm

5

The length of an arc in a circle is 15 cm, and the corresponding central angle is 45 degrees. Find the diameter of the circle.

A) 38.2 cm

B) 60 cm

C) 110 cm

D) 80 cm

6

A circular pond has an area of 80 square feet. What is the diameter of the pond.

A) 12.26 ft

B) 10.1 ft

C) 13.56 ft

D) 9.63 ft

7

A circular pond has an area of 50 square feet. What is the diameter of the pond.

A) 2.56 ft

B) 7.98 ft

C) 3.56 ft

D) 5.65 ft

8

A circular pond has an area of 135 square feet. What is the diameter of the pond.

A) 15.23 ft

B) 13.11 ft

C) 13.12 ft

D) 18.56 ft

9

A circular pond has a diameter of 16 m and is surrounded by a path that is 4 m wide. Calculate the cost of constructing the path at the rate of Rs. 30 per square meter (Use π = 3.14).

A) Rs.2300

B) Rs.2600

C) Rs.7536

D) Rs.2100

10

A circular pond has a diameter of 10.5 m and is surrounded by a 3 m wide path. Find the cost of constructing the path at a rate of Rs. 10 per square metre (Use π = 3.14).

A) Rs.1262.34

B) Rs.1222.34

C) Rs.1252.34

D) Rs.1271.70