Problem

Find the area of each figure. Round to the nearest tenth if necessary. 9. a semi-circle with a radius of 3 inches

Solution

Step 1 :Given a semi-circle with a radius of 3 inches.

Step 2 :The formula for the area of a circle is \(\pi r^2\), where \(r\) is the radius of the circle.

Step 3 :Substitute \(r = 3\) into the formula to get the area of the full circle, \(\pi (3)^2 = 28.274333882308138\) square inches.

Step 4 :Since we are dealing with a semi-circle, we need to divide this area by 2 to get the area of the semi-circle, \(\frac{28.274333882308138}{2} = 14.137166941154069\) square inches.

Step 5 :Round to the nearest tenth to get the final answer.

Step 6 :Final Answer: The area of the semi-circle is approximately \(\boxed{14.1}\) square inches.

From Solvely APP
Source: https://solvelyapp.com/problems/19692/

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