Geometry

Question Analysis

The key is to use the formula for the area of a sector, which relates the central angle of the sector and the radius of the circle. We need to correctly substitute the given values into the formula to find the area.

 

Key Concept Explanation

The area formula for a sector of a circle is , 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 . Then,

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