Question

a circular garden has a diameter of 8 yards. what is the area of the garden? use 3.14 for π. 4 of 4 questio 50.24 yd² 25.12 yd² 200.96 yd² 12.56 yd²

Explanation:

Step1: Find the radius

The radius \(r\) of a circle is half of the diameter \(d\). Given \(d = 8\) yards, so \(r=\frac{d}{2}=\frac{8}{2}=4\) yards.

Step2: Calculate the area

The formula for the area \(A\) of a circle is \(A=\pi r^{2}\). Substitute \(r = 4\) yards and \(\pi=3.14\) into the formula: \(A = 3.14\times4^{2}\). First, calculate \(4^{2}=16\), then \(A=3.14\times16 = 50.24\) \(yd^{2}\).

Answer:

50.24 \(yd^{2}\) (the first option)