Question

find the area and the circumference of a circle with radius 9 ft. use the value 3.14 for π, and do not round your answers. be sure to include the correct units in your answers.

Explanation:

Step1: Calculate the area of the circle

The formula for the area of a circle is \(A = \pi r^{2}\). Given \(r = 9\) ft and \(\pi=3.14\), we substitute the values:
\(A=3.14\times9^{2}\)
\(A = 3.14\times81\)
\(A=254.34\)

Step2: Calculate the circumference of the circle

The formula for the circumference of a circle is \(C = 2\pi r\). Given \(r = 9\) ft and \(\pi = 3.14\), we substitute the values:
\(C=2\times3.14\times9\)
\(C = 6.28\times9\)
\(C=56.52\)

Answer:

Area: \(254.34\mathrm{ft}^{2}\)
Circumference: \(56.52\mathrm{ft}\)