Q13. - Algebra 1

Question

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

The radius is 4 centimeters.

Step-by-Step Solution

Answer

The area of the circle is $50.2 {\mathrm{cm}}^2$.

Step 1. Given information.

A circle with a radius of 4 centimeters.

Step 2. Concept used.

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

Step 3. Calculations.

$$\begin{gathered} A=\pi r^2 \\ =3.14\times 4^2 \\ =3.14\times 16 \\ =50.24 \end{gathered}$$

Rounding off to the nearest tenth, we get,

$A=50.2{\mathrm{cm}}^2$

Thus, the area of the circle is $50.2{\mathrm{cm}}^2$.