Question

find the area of a circle with radius 5 yd. use the value 3.14 for π, and do not round your answer. be sure to include the correct unit in your answer.

Explanation:

Step1: Recall the formula for the area of a circle

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

Step2: Substitute the given values into the formula

We are given that the radius \( r = 5\) yd and \( \pi=3.14 \). Substituting these values into the formula, we get \( A = 3.14\times(5)^{2} \).

Step3: Calculate the value of \( (5)^{2} \)

First, calculate \( 5^{2}=5\times5 = 25 \).

Step4: Multiply to find the area

Now, multiply \( 3.14 \) by \( 25 \): \( 3.14\times25=78.5 \).

Answer:

The area of the circle is \( 78.5 \) square yards (or \( 78.5\space\text{yd}^2 \)).