The problem asks us to find the area of a circle, given its diameter. The diameter is given as 18 inches. We need to round the answer to the nearest tenth.

GeometryAreaCircleDiameterRadiusPiApproximation
2025/4/8

1. Problem Description

The problem asks us to find the area of a circle, given its diameter. The diameter is given as 18 inches. We need to round the answer to the nearest tenth.

2. Solution Steps

First, we need to find the radius of the circle. The radius is half of the diameter.
radius=diameter2radius = \frac{diameter}{2}
radius=182=9radius = \frac{18}{2} = 9 inches.
Next, we need to calculate the area of the circle. The formula for the area of a circle is:
Area=πradius2Area = \pi * radius^2
Substituting the value of the radius into the formula:
Area=π92Area = \pi * 9^2
Area=π81Area = \pi * 81
Area=81πArea = 81\pi
Using the value of π3.14159\pi \approx 3.14159, we can approximate the area:
Area813.14159=254.46879Area \approx 81 * 3.14159 = 254.46879
Rounding to the nearest tenth, we get 254.5254.5.

3. Final Answer

254.5 in2in^2

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