Unit 3 OUR Circles Study Guide - Accelerated

Unit 3 OUR Circles Study Guide - Accelerated

by Jennifer Griffin

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1. The circumference of a circle is 1,450 cm. What is the approximate length of the diameter of the circle? (Round your answer to the nearest hundredth).

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2. Michael drove a small car 18 laps around a circular track. The radius of the track is 45 ft. What is the approximate distance Michael’s car traveled? (Round your answer to the nearest hundredth).

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3. The circumference of a circle is 55 mm. What is the approximate radius of the circle? (Round your answer to the nearest hundredth).

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4. Two circles share a center point. Which measurement is closest to the circumference of the outside circle? (Round your answer to the nearest hundredth).

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5. A circle has a radius of 9 feet. What is the approximate circumference? (Round your answer to the nearest hundredth).

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6. Two gears are shown below. The diameter of the larger gear is twice as large as the diameter of the smaller gear. How much larger is the circumference of the larger gear than the smaller gear? (Round your answer to the nearest hundredth).

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7. The diameter of a circle is 15 cm. What is the area of the circle? (Round your answer to the nearest hundredth).

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8. Paul bought a circular rug for his living room. The rug has a diameter of 13 feet. About how much of a Paul’s living room will be covered with the rug? (Round your answer to the nearest hundredth).

Multiple Choice

9. Which expression represents the area of the circle shown below?

• $$9\pi$$  

• $$18\pi$$  

• $$81\pi$$  

• $$324\pi$$  

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10. Hunter has a choice between 2 pizzas: a circular pizza with a 12-inch diameter, a square pizza with 9-inch side. Which pizza is larger?

Enter either "circle pizza" or "square pizza"

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11. Mrs. McMillan wants to cover a circular area of grass that has a diameter of 350 feet. A store sells bales of hay to protect the grass seed. One bale of hay covers about 200 square feet of field. What is the smallest number of bales that Mrs. McMillan must buy to cover the circular area?

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12.   The figure below is made up of a rectangle and a semicircle. What is the area, in square cm, of the figure?

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13. What is the approximate area, in square inches, of the shaded region of this figure? (Round your answer to the nearest hundredth).

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14.  A circle’s circumference is approximately 76 cm. Estimate the radius, of the circle.

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14.  A circle’s circumference is approximately 76 cm. Estimate the  diameter of the circle.

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14.  A circle’s circumference is approximately 76 cm. Estimate the area of the circle.

Multiple Choice

15. The side view of a tractor is shown below. Which statement describe the relationship between the circumferences of the wheels of the tractor?

• A. The circumference of the larger wheel is 1.5 times the circumference of the smaller wheel.

• B. The circumference of the larger wheel is 3.14 times the circumference of the smaller wheel.

• C. The circumference of the larger wheel is 8 times the circumference of the smaller wheel.

• D. The circumference of the larger wheel is 2.5 times the circumference of the smaller wheel.

Multiple Choice

16.  What is the approximate area of this circle?

• 19

• 28

• 32