Circumference and Area of Circles Test – Grade 7 Math (Printable PDF)

Question 1 Circumference and radius (2 points)

The circle shown has a diameter of 22 cm.

1. Find the radius. (1 point)
2. Write the circumference using π. (1 point)

Question 2 Area of a circle (2 points)

Calculate the area of a disk of radius 15 in. Let π = 3.14.

Question 3 Area from the circumference (3 points)

The distance around a circle is 50.24 m. Calculate the diameter, the radius and the area. Let π = 3.14.

Question 4 Semicircle (2 points)

The shape shown is a semicircle with a diameter of 20 cm. Let π = 3.14.

1. Calculate its area. (1 point)
2. Find its perimeter, including the straight edge. (1 point)

Question 5 Explain the area formula (3 points)

A circle has a radius of 6 in. It is cut into thin sectors that are rearranged into a shape close to a parallelogram with base b and height h.

1. Find b. Give the exact value. (1 point)
2. Find h. (1 point)
3. Use b and h to find the area in terms of π. (1 point)

Question 6 Wheel distance (2 points)

A wheel has a diameter of 20 in. How many feet does it roll in 300 complete turns? Let π = 3.14.

Question 7 Flower bed (3 points)

A square lawn is 12 m on each side. A quarter-circle flower bed with a radius of 12 m is in one corner, as shown. Let π = 3.14.

1. Calculate the flower bed area. (2 points)
2. Calculate the lawn area that is not part of the flower bed. (1 point)

Question 8 Compare two circles (3 points)

Circle A has a radius of 5 ft and Circle B has a radius of 10 ft.

1. Write each circumference in terms of π. (1 point)
2. Write each area in terms of π. (1 point)
3. Compare the area of Circle B with the area of Circle A. (1 point)