Question

question 9 of 10 what is the approximate area of a circle with a diameter of 18 in? a. 254 in² b. 28.3 in² c. 1018 in² d. 56.5 in²

Explanation:

Step1: Find the radius

The radius $r$ of a circle is half of the diameter $d$. Given $d = 18$ in, so $r=\frac{d}{2}=\frac{18}{2}=9$ in.

Step2: Calculate the area

The formula for the area $A$ of a circle is $A=\pi r^{2}$. Substitute $r = 9$ in, we get $A=\pi\times9^{2}=\pi\times81$. Taking $\pi\approx3.14$, then $A\approx3.14\times81 = 254.34\approx254$ in².

Answer:

A. 254 in²