Question

find the area and the circumference of a circle with radius 9 yd. 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 \(r = 9\) yd and \(\pi=3.14\), we substitute these values into the formula:
\(A=3.14\times9^{2}\)
\(=3.14\times81\)
\( = 254.34\) \(yd^{2}\)

Step2: Calculate the circumference of the circle

The formula for the circumference of a circle is \(C = 2\pi r\). Substituting \(r = 9\) yd and \(\pi = 3.14\):
\(C=2\times3.14\times9\)
\(=6.28\times9\)
\(=56.52\) yd

Answer:

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