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 non - blue part of the circular clock face. We first calculate the total area of the clock face, then determine the fraction of the non - blue part, and finally use multiplication to get the result.

Key Concept Explanation

The area of a circle is given by the formula , where  is the radius of the circle. 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 clock face using the formula . Given that  inches, we have  square inches.

2. Determine the fraction of the non - blue part of the clock face. Since one - third is blue, the non - blue fraction is .

3. Calculate the area of the non - blue part by multiplying the total area by the non - blue fraction:

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