Question

A bull’s-eye with a 4-inch diameter covers 20 percent of a circular target. What is the area, in square inches, of the target?

Answer 1

Answer:

Area of target = 62.8 inch²

Step-by-step explanation:

A bull’s-eye with a 4-inch diameter covers 20 percent of a circular target.

Diameter of bull's eye = 4 inch

$\texttt{Area of bull's eye = }\frac{\pi\times 4^2}{4}=12.56inch^2$

Given that  bull’s-eye covers 20% of circular target.

$\texttt{Area of bull's eye = }\frac{20}{100}\times \texttt{Area of target}\\\\\texttt{Area of target}\times 0.2=12.56\\\\\texttt{Area of target}=\frac{12.56}{0.2}=62.8inch^2$

Area of target = 62.8 inch²

Answer 2

Area of a circle is found using the formula: Area = π * r^2

Using 3.14 for π

Area of the bull'e eye = π * 2^2 = 4π = 4 * 3.14 = 12.56 square inches.

This is 20% of the entire target.

To find the area of the entire target, divide the area of the bull's eye by the percentage:

Area = 12.56 / 0.20 = 62.8 square inches.

Round the answer as needed.