Question

find the area of the circle. use 3.14 for the value of π. round your answer to the nearest tenth. dont forget to find the radius first before finding the area.
a. 98.5 in²
b. 16 in²
c. 326.8 in²
d. 81.7 in²

Explanation:

Step1: Find the radius

The diameter $d = 10.2$ in. The radius $r=\frac{d}{2}$, so $r=\frac{10.2}{2}=5.1$ in.

Step2: Calculate the area of the circle

The formula for the area of a circle is $A = \pi r^{2}$. Substitute $\pi = 3.14$ and $r = 5.1$ into the formula: $A=3.14\times(5.1)^{2}=3.14\times26.01 = 81.6714$ in².

Step3: Round the answer

Round $81.6714$ to the nearest tenth. The hundred - th digit is 7, so we round up. $A\approx81.7$ in².

Answer:

D. 81.7 in²