Question

Boonie wants to paint a circle on a wall in her bedroom. The height of the wall is 8 feet, from floor to ceiling. She wants the circle to be 1 foot away away from the floor and 1 foot away from the ceiling. What is the radius of the circle she will paint? What is the area of the circle? What is the circumference of the circle ?

Answer 1

Solution.

Height $= 8$ feet

Take away 1 foot from top is 7 feet then another foot from bottom is 6 feet.

So the diameter $= 6$ feet, then the radius $R = \frac{6}{2} = 3$ feet.

The area of the circle:

$$S = \pi R ^ {2} = 3 ^ {2} \pi = 9 \pi (\text {f e e t})$$

The circumference of the circle:

$$L = 2 \pi R = 6 \pi (\text {f e e t})$$

Answer: $R = 3$ feet; $S = 9\pi$ feet; $L = 6\pi$ feet.