Geometry

Question Analysis

The key is to apply the formula for the area of a sector when the central angle is given in radians. We'll substitute the provided radius and central - angle values into the appropriate formula to compute the sector's area.

 

Key Concept Explanation

The formula for the area of a sector of a circle when the central angle  is in radians is , where  is the radius of the circle. 

 

Step - by - Step Solution

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

2. Substitute into the formula .

First, calculate .

Then,

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