1. A slice of a round cake has a radius of $14\text{ cm}$. The outer curved edge of the slice measures $6\text{ cm}$. Using a triangle approximation, estimate the area of the slice in square centimeters. ___
2. When approximating a circular sector's area as a triangle, which two measurements are used for the triangle's base and height?
3. A pendulum with a length of $20\text{ ft}$ swings through an arc of $8\text{ ft}$. Estimate the area of the sector formed by its swing, in square feet. ___
4. Sector A has a radius of $10\text{ ft}$ and an arc length of $6\text{ ft}$. Sector B has a radius of $5\text{ ft}$ and an arc length of $12\text{ ft}$. How do their estimated areas compare?
5. A rotating sprinkler waters a sector-shaped area of a lawn. The estimated area watered is $50$ square yards, and the spray reaches a distance of $10$ yards. What is the approximate length of the curved edge of the watered area? ___
6. A circular garden has a radius of 15 meters. What is its circumference in terms of $\pi$? The answer should be in meters. ___
7. The circumference of a car tire is $36\pi$ inches. What is the radius of the tire in inches?
8. The circumference of a circular tabletop is $52\pi$ cm. What is the diameter of the tabletop in cm? ___
9. A circular plate has a radius of 10 cm and a measured circumference of 62 cm. Using the formula $C = 2\pi r$, what is the estimated value of $\pi$?
10. Circle A has a radius of 8 inches. Circle B has a radius that is double the radius of Circle A. How does the circumference of Circle B compare to Circle A?