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Geometry and Trigonometry / Area and volume Difficulty: Medium

A circle has a radius of $2.1$ inches. The area of the circle is $b π$ square inches, where $b$ is a constant. What is the value of $b$ ?

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Explanation

The correct answer is $4.41$ . The area, $A$ , of a circle is given by the formula $A = π r^{2}$ , where $r$ is the radius of the circle. It's given that the area of the circle is $b π$ square inches, where $b$ is a constant, and the radius of the circle is $2.1$ inches. Substituting $b π$ for $A$ and $2.1$ for $r$ in the formula $A = π r^{2}$ yields $b pi equals pi left parenthesis 2.1 squared right parenthesis$ . Dividing both sides of this equation by $π$ yields $b equals 4.41$ . Therefore, the value of $b$ is $4.41$ .