Geometry

Question Analysis

The main focus is applying the formula for the area of a sector of a circle. We know the central angle of the sector and the radius of the circle, and we need to use these values to calculate the area of the sector.

 

Key Concept Explanation

The area of a sector of a circle is given by the formula , where is the central angle of the sector in degrees and is the radius of the circle. This formula is based on the proportion of the sector's angle to the full of a circle.

 

Step - by - Step Solution

1. Identify the values: The central angle and the radius .

2. Substitute into the formula: .

3. First, calculate

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