Q16. - Algebra 1

Question

Find the area of each circle. Round to the nearest tenth.

The diameter is 25 feet.

Step-by-Step Solution

Answer

The area of the circle is $490.6 {\mathrm{ft}}^2$.

Step 1. Given information.

A circle with diameter 25 feet.

Step 2. Concept used.

The area of a circle with radius r is given by $A=\pi r^2$.

Step 3. Calculations.

Since the radius is half of the diameter, so, the radius is 12.5 feet.

$$\begin{gathered} A=\pi r^2 \\ =3.14\times 12.5^2 \\ =3.14\times 156.25 \\ =490.625 \end{gathered}$$

Rounding off to the nearest tenth, we get,

$A=490.6{\mathrm{ft}}^2$

Thus, the area of the circle is $490.6{\mathrm{ft}}^2$.