Question

question 2 of 5
a circular garden has a diameter of 6 yards. what is the area of the garden?
use 3.14 for π.
a. 14.13 yd²
b. 18.84 yd²
c. 28.26 yd²
d. 113.04 yd²

Explanation:

Step1: Find the radius

The radius \(r\) of a circle is half of the diameter \(d\). Given \(d = 6\) yards, so \(r=\frac{d}{2}=\frac{6}{2}=3\) yards.

Step2: Calculate the area

The formula for the area \(A\) of a circle is \(A=\pi r^{2}\). Substitute \(r = 3\) yards and \(\pi=3.14\) into the formula: \(A = 3.14\times3^{2}=3.14\times9 = 28.26\) \(yd^{2}\).

Answer:

C. \(28.26\ yd^{2}\)