Circle Formulas Worksheets Grade 7

Geometry

Circumference and Area

Each printable worksheet below is a full page of practice problems and comes with an answer key that explains how to solve every problem, step by step. Open a worksheet and use the Print / Save as PDF button to download it.

Worksheet 1

3 problems
  1. Olivia is designing a circular garden pond for her backyard. The pond will have a radius of 3 meters. She wants to install a decorative rope light around the entire outer edge of the pond and cover the bottom surface with a special waterproof liner. How many meters of rope light does Olivia need for the circumference, and how many square meters of liner does she need for the area? Use π ≈ 3.14.
  2. A circular garden has a stone path around its outer edge. The garden's diameter is 14 meters. If the stone path extends 2 meters beyond the garden's edge all the way around, what is the circumference of the outer edge of the path? (Use π = 3.14)
  3. Matiu is helping his school design a new circular sensory garden. The garden will have a diameter of 22 meters. A decorative path made of paving stones will go around the entire outer edge, and the whole circular area will be filled with special soft mulch. How many meters of paving stones are needed for the path (circumference), and how many square meters of mulch are needed to cover the garden? Use π ≈ 3.14.
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Worksheet 2

4 problems
  1. A circular fountain in a park has a diameter of 14 meters. A concrete walkway surrounds the fountain, extending 3 meters outward from the fountain's edge. What is the total area of the walkway? (Use π = 3.14)
  2. A city is building a circular skate park with a diameter of 28 meters. The planners need to install a protective railing around the entire outer edge and calculate how much special rubber surfacing material is needed to cover the entire circular area. What is the total length of railing required (circumference) and how many square meters of surfacing material are needed (area)? Use π ≈ 3.14 and round your answers to the nearest whole number.
  3. π × (16² - 11²) = ?

…and 1 more problems

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Worksheet 3

3 problems
  1. Mason is building a circular outdoor fire pit in his backyard. The fire pit will have a diameter of 12 feet. He needs to install a steel ring around the entire outer edge to hold the stones in place, and he wants to fill the entire circular base with a layer of fireproof sand. What is the length of the steel ring needed for the circumference, and what is the area of the base that needs to be covered with sand? Use π ≈ 3.14.
  2. Liam is designing a circular garden with a diameter of 14 meters for his community park. He needs to install decorative fencing around the entire perimeter and calculate the area to determine how much soil to order for planting flowers. What is the circumference of Liam's garden in meters, and what is its area in square meters?
  3. A circular pizza has a diameter of 30 cm. Isabella cuts it into 8 equal slices. What is the area of one slice? (Use π = 3.14)
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