A circular window on a ship has a radius of 8 inches. We need to find the area of the glass needed for the window and round the answer to the nearest hundredth.

1. Problem Description

A circular window on a ship has a radius of 8 inches. We need to find the area of the glass needed for the window and round the answer to the nearest hundredth.

2. Solution Steps

The area of a circle is given by the formula:

$Area = \pi r^2$

where $r$ is the radius of the circle.

In this problem, the radius $r = 8$ inches. Substituting this into the formula gives:

$Area = \pi (8^2) = 64\pi$ square inches.

To find the numerical value, we can use the approximation $\pi \approx 3.14159$. Then

$Area = 64 \times 3.14159 \approx 201.06176$

Rounding to the nearest hundredth gives $201.06$ square inches.

3. Final Answer

201.06