Last updated: October 22, 2026 · Written by the Math Made Easy math teachers
Problems 1 to 7 are direct. Problems 8 to 14 mix formulas and work backward. Problems 15 to 20 are multi-step word problems.
Standards: 7.G.B.4 · Level: Grade 7
Problem 2 Diameter from radius ★★★
A circular rug has a radius of 2.5 yd. Find its diameter.
Problem 3 Circumference from diameter ★★★
Compute the distance around a circle whose diameter is 25 in. Take π ≈ 3.14.
Problem 4 Circumference in terms of π ★★★
Determine the circumference when the radius is 6 m. Leave π in the answer.
Problem 5 Area from radius ★★★
Compute the area enclosed by a circle of radius 9 cm. Take π ≈ 3.14.
Problem 6 Area in terms of π ★★★
Determine the area of a circle of radius 11 in. Leave π in the answer.
Problem 7 Area from the diameter ★★★
Determine the area of a circle whose diameter is 30 in in terms of π.
Problem 8 Work backward from circumference ★★★
Wire bent into a circle is 75.36 ft long. Determine the diameter and radius of the circle. Take π ≈ 3.14.
Problem 9 Bicycle wheel ★★★
A bicycle wheel has a diameter of 26 in. How far does the bike travel in one full turn of the wheel? Take π ≈ 3.14.
Problem 10 Garden from the fence ★★★
A circular garden has a fence of length 37.68 ft around it. Find the area of the garden. Take π ≈ 3.14.
Problem 11 Area of a semicircle ★★★
Find the area of a semicircle with a diameter of 16 cm. Take π ≈ 3.14.
Problem 12 Area of a quarter circle ★★★
A quarter circle has a radius of 12 ft. Find its area in terms of π and then with π ≈ 3.14.
Problem 13 Rearranging a circle ★★★
A circle of radius 5 in is cut into sectors and rearranged into a shape close to a parallelogram. Find the base and the height of that shape, then its area in terms of π.
Problem 14 Effect of doubling ★★★
A circle has a radius of 4 cm. A second circle has a radius of 8 cm. Compare the circumferences and the areas of the two circles in terms of π.
Problem 15 Pizza value ★★★
A 12-inch pizza costs $9 and a 16-inch pizza costs $14. Which pizza costs less per square inch? Take π ≈ 3.14, and round each cost per square inch to the nearest tenth of a cent.
Problem 16 Field with rounded ends ★★★
A play field is a rectangle 40 ft long and 24 ft wide with a semicircle added to each 24-ft end. Find the perimeter and the area of the whole field. Take π ≈ 3.14.
Problem 17 Sprinkler coverage ★★★
A sprinkler waters a circle with a radius of 15 ft in the middle of a square lawn that is 30 ft on each side. How many square feet of the lawn are not watered? Take π ≈ 3.14.
Problem 18 Arched window ★★★
A window is a rectangle 36 in wide and 48 in tall with a semicircle on top whose diameter is the 36-in width. Find the area of the glass and the length of trim needed around the outside edge (the two sides, the bottom and the arch). Take π ≈ 3.14.
Problem 19 Path around a pond ★★★
A circular pond has a radius of 9 ft. A stone path 3 ft wide surrounds the pond. Find the area of the path in terms of π and then with π ≈ 3.14.
Problem 20 Odometer wheel ★★★
A trailer wheel has a diameter of 28 in. How many feet does the trailer travel while the wheel makes 500 complete turns? Take π ≈ 3.14 and round to the nearest foot.
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