Geometry

Question Analysis

The main focus is on using the formula for the area of a circle and fraction arithmetic to find the area of the accessible part of the circular driveway. First, we calculate the total area of the circular driveway. Then, we determine the fraction of the driveway that is still accessible. Finally, we multiply the total area by this fraction to get the desired area.

Key Concept Explanation

The area of a circle is given by the formula , where is the radius. To find the area of a specific portion of the circle, we multiply the fraction representing that portion by the total area of the circle. 

Step - by - Step Solution

1. Calculate the total area of the circular driveway using the formula . Given yards, we have square yards.

2. Determine the fraction of the driveway that is still accessible. Since is blocked, the accessible fraction is .

3. Calculate the area of the accessible part by multiplying the total area by the accessible fraction:

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