Quiz At Home

Title: Circles

Grade: 8-a Lesson: S3-L1

Explanation: Hello Students, time to practice and review. Let us take next 10-15 minutes to solve the ten problems using the Quiz Sheet. Then submit the quiz to get the score. This is a good exercise to check your understanding of the concepts.

Quiz: at Home

Problem Id Problem Options

1

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

A) 20 feet

B) 24 feet

C) 22 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) 30.47 m and 6.20 m

C) 31.47 m and 5.20 m

D) 31.48 m and 5.29 m

3

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

A) 5 units

B) 4 units

C) 7 units

D) 8 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) 120 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) 10.09ft

B) 12.26ft

C) 13.56ft

D) 9.63ft

7

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

A) 7.98ft

B) 2.56ft

C) 3.56ft

D) 5.65ft

8

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

A) 13.11ft

B) 13.12ft

C) 15.23ft

D) 18.56ft

9

A circular pond is of diameter 16 m. It is surrounded by a 4 m wide path. Find the cost of constructing the path at the rate of Rs. 30 per square metre (Use π = 3.14).

A) Rs.2300

B) Rs.2600

C) Rs.7512

D) Rs.2100

10

A circular pond is of diameter 10.5 m. It is surrounded by a 3 m wide path. Find the cost of constructing the path at the 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.1275


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