Question

c area: d area: 9 ft 16 cm

Explanation:

Step1: Recall the formula for the area of a circle

The formula for the area of a circle is \(A = \pi r^{2}\), where \(r\) is the radius of the circle.

Step2: Calculate the area for part c

For part c, the radius \(r = 9\) ft. Substitute \(r = 9\) into the formula:
\(A=\pi\times(9)^{2}=\pi\times81 = 81\pi\approx81\times3.14=254.34\) square feet.

Step3: Calculate the radius for part d

For part d, the diameter \(d = 16\) cm. The radius \(r=\frac{d}{2}=\frac{16}{2}=8\) cm.

Step4: Calculate the area for part d

Substitute \(r = 8\) into the formula \(A=\pi r^{2}\):
\(A=\pi\times(8)^{2}=\pi\times64=64\pi\approx64\times3.14 = 200.96\) square centimeters.

Answer:

c. \(254.34\) square feet; d. \(200.96\) square centimeters.