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Unit 10 Review – 7th Grade
Below is an example of a circle. Use it to solve questions 1 – 3.
- If the radius of this circle is 12 in, what is the diameter?______
- If the circumference of this circle is 314 in, what is the radius?______
3.Sarah plans to build round picture frames, each with a radius of 5 inches. How much wood does she need to build 2 picture frames? Use 3.14 for ∏.
a. / 14.3 in. / b. / 31.4 in.
c. / 62.8 in. / d. / 109.9 in.
Use the information below for problems 4-5.
The Delgado family has a circular swimming pool with a radius of 12 feet. They built a 10-foot-wide deck around the entire pool.
4. What is the area of the pool, rounded to the nearest tenth?
a. / 37.68 in2 / b. / 31.4 in2c. / 530.2 in2 / d. / 452.2 in2
5. What is the circumference of the deck, rounded to the nearest tenth?
a. / 138.16 in. / b. / 138.2 in.c. / 75.36 in. / d. / 75.4 in.
6.Jackson is riding a Ferris wheel at a carnival that has a diameter of 49 feet. What distance does Jackson travel in three revolutions on the Ferris wheel?
Use 3.14 for ∏.
a. / 307.7 in. / b. / 923.2 in.c. / 634.2 in. / d. / 153.9 in.
7.Ryan is training for a race by running on a circular path. He knows that it is .25 mile from the tree in the center of the circular path to the path. How long is the path? Use 3.14 for ∏.
a. / 1.8 mi / b. / 4.73 mi
c. / 1.57 mi / d. / 7.1 mi
8.The table shows the radius and circumference of different sized circles. What is the ratio between the circumference and diameter of any circle?
a. / 1.2 / b. / 3.14
c. / 5.75 / d. / 6.24
9. The sun dial below has a radius length of 13 feet. Each section of the sun dial will be painted in different colors. Approximately how much paint is needed for one section? Use 3.14 for ∏.
a. / 52.3 ft / b. / 132.67ft
c. / 104.7ft / d. / 530.66ft
10.The Midtown Dog Kennel is building a circular dog park. The length of the fence around the park is approximately 50 yards. How much area will the dogs have to run? Use 3.14 for ∏.
a. / 7.96 ft / b. / 15.9 ft
c. / 198.96 ft / d. / 50 ft
11.The manager at Eagle Golf Course wants to reseed the fairways. The manager will only put seed where the sprinklers water the grass. If one sprinkler sprays a radius of 6 feet, approximately how much ground will be covered with seed? Use 3.14 for ∏.
a. / 6 ft / b. / 113 ft
c. / 216 ft / d. / 452 ft
Use the information below for problems 12 and 13.
Jessica’scar tires have a radius of 6.2 inches.12. Approximately how much rubber goes around the outside of both tires? Use 3.14 for ∏.
a. / 19.47in. / b. / 52.63 in.
c. / 38.94 in. / d. / 103.98 in.
13. What is the approximate area of all four car tires?
a. / 482.81 in. / b. / 120.7 in.c. / 172 in. / d. / 103 in.
Use the circle to the right for problems 14 – 14. Use 3.14 for pi. Round to the nearest tenth.
14.Find the radius of the circle.
a. / 57.4 in / b. / 78.5 inc. / 12.5 in / d. / 490.6 in
15.Find the circumference of the circle.
a. / 57.4 in / b. / 78.5 inc. / 12.5 in / d. / 490.6 in
16. Find the area of the circle.
a. / 57.4 in2 / b. / 78.5 in2c. / 12.5 in2 / d. / 490.6 in2
17.Determine the area of the semi-circle.
a. / 453.7 in2 / b. / 5.5 in2c. / 226.9 in2 / d. / 113.4 in2
18.Determine the area of the quarter -circle.
a. / 529 in2 / b. / 1661.1 in2c. / 415.3 in2 / d. / 18.1 in2
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