Question

a circle has radius of 3.7 inches. the area of the circle is bπ square inches, where b is a constant. what is the value of b?

Explanation:

Step1: Recall area formula

The area formula of a circle is $A = \pi r^{2}$, where $r$ is the radius.

Step2: Substitute given radius

Given $r = 3.7$ inches, so $A=\pi\times(3.7)^{2}=\pi\times13.69$.

Step3: Compare with given area form

The area is given as $b\pi$. Since $A = b\pi$ and $A=\pi\times13.69$, then $b = 13.69$.

Answer:

$13.69$