Question

1. write an equation for the area of the circle given the following conditions: a. d = 15 b. r = 5.5

Explanation:

Step1: Recall area formula

The area formula of a circle is $A = \pi r^{2}$, where $r$ is the radius. Also, $d = 2r$ (diameter - radius relation).

Step2: For part a

Given $d = 15$, then $r=\frac{d}{2}=\frac{15}{2}=7.5$. The area $A=\pi r^{2}=\pi\times(7.5)^{2}= 56.25\pi$.

Step3: For part b

Given $r = 5.5$, the area $A=\pi r^{2}=\pi\times(5.5)^{2}=30.25\pi$.

Answer:

a. $A = 56.25\pi$
b. $A = 30.25\pi$