Question

question 2 of 10 what is the approximate area of a circle with a diameter of 14 in? a. 154 in² b. 22 in² c. 44 in² d. 616 in²

Explanation:

Step1: Find the radius

The radius $r$ of a circle is half of the diameter $d$. Given $d = 14$ in, so $r=\frac{d}{2}=\frac{14}{2}=7$ in.

Step2: Use the area formula

The formula for the area of a circle is $A=\pi r^{2}$. Substitute $r = 7$ in, we get $A=\pi\times(7)^{2}=49\pi$ in². Taking $\pi\approx3.14$, then $A\approx49\times3.14 = 153.86\approx154$ in².

Answer:

A. 154 in²