Question

find the area of a circle with a radius of 8. either enter an exact answer in terms of π or use 3.14 for π and enter your answer as a decimal. units²

Explanation:

Step1: Recall the formula for the area of a circle

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

Step2: Substitute the given radius into the formula

We are given that the radius \( r = 8 \). Substituting \( r = 8 \) into the formula, we get \( A=\pi\times(8)^{2} \).

Step3: Calculate the value

First, calculate \( 8^{2}=64 \). So, \( A = 64\pi \) (exact form). If we use \( \pi\approx3.14 \), then \( A=3.14\times64 = 200.96 \).

Answer:

If in terms of \( \pi \), the area is \( 64\pi \) square units. If using \( 3.14 \) for \( \pi \), the area is \( 200.96 \) square units.