Question

What is the best approximation for the area of this circle with the radius $8\mathrm{in}$?

Use $3.14$ to approximate $\mathrm{\pi }.$

• A. $25.1{\mathrm{in}}^2$
• B. $50.2{\mathrm{in}}^2$
• C. $201.0{\mathrm{in}}^2$
• D. $803.8{\mathrm{in}}^2$

Answer 1

The correct option is C

$201.0{\mathrm{in}}^2$

Explanation for the correct option.

Determine the area of the circle.

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

Substitute $r=8,\mathrm{\pi }=3.14$ in the equation $A=\mathrm{\pi }{r}^2$ and simplify.

$$\begin{gathered} A=\mathrm{\pi }{r}^2 \\ \Rightarrow A=3.14\times 8\times 8 \\ \Rightarrow A=3.14\times 64 \\ \Rightarrow A=200.96 \\ \therefore A\simeq 201 \end{gathered}$$

The area of a circle is approximately $201\mathrm{sq}.\mathrm{inches}.$

Hence, the correct option is option (C).