Section 13.3: Areas of Circles — Practice Questions

1. 1. A circular fountain has a diameter of 10 feet. Using the area formula $A = \pi r^2$, what is the area of the fountain in square feet?

   • A. $25\pi$
   • B. $10\pi$
   • C. $100\pi$
   • D. $5\pi$

2. 2. A circular table has a diameter of 14 inches. Using $A = \pi r^2$ and $\pi \approx 3.14$, the approximate area of the table is ___ square inches.

3. 3. Which is larger: a circular clock with a diameter of 12 inches, or a circular mirror with an area of 100 square inches? Use $\pi \approx 3.14$.

   • A. The clock, with area $\approx 113.04$ sq in
   • B. The mirror, with area $= 100$ sq in
   • C. They are equal in area
   • D. Cannot be determined

4. 4. A small circular pool has an area of 95 square feet. A large circular pool has an area of 130 square feet. What is the percent increase from the smaller to the larger pool?

   • A. 36.8%
   • B. 26.9%
   • C. 43.2%
   • D. 13.6%

5. 5. A circular garden has a diameter of 18 feet. Its area expressed in terms of $\pi$ is ___.

6. 6. A circular dinner plate has a radius of 7 inches. What is the diameter of the plate in inches? ___

7. 7. A circular lid for a jar has a diameter of 10 centimeters. What is the radius of the lid in centimeters? ___

8. 8. Which statement correctly describes the relationship between the radius ($r$) and the diameter ($d$) of any circle?

   • A. The radius is twice the diameter.
   • B. The diameter is twice the radius.
   • C. The radius and diameter are equal.
   • D. The diameter is half the radius.

9. 9. A Ferris wheel is a large circle. A straight support beam that runs from the center of the wheel to a passenger car on the edge represents which part?

   • A. The radius
   • B. The diameter
   • C. The center
   • D. The circle

10. 10. A circular running track has a diameter of 100 meters. What is the radius of the track in meters? ___