Math Problem Solver

The radius of a circle is $\frac{4 \sqrt{6}}{\sqrt{\pi}} \approx 5.53\, \text{cm}$.

Note: Approximate solutions are rounded to the nearest hundredths place.

Given: $$\begin{aligned}A&=96\end{aligned}$$

Radius

The radius of a circle is given by the equation: $$\begin{aligned}A&=\pi r^{2}\end{aligned}$$ where $A$ is area and $r$ is radius.

Solution:$$\begin{aligned}A&=\pi r^{2}\\96&=\pi r^{2}\\r&=\frac{4 \sqrt{6}}{\sqrt{\pi}}\end{aligned}$$

A circle is a two dimensional figure that has no corners or edges. Its radius r is the distance between the center of the circle and any point on the circle. Its diameter d is twice the radius, forming a line segment passing through the center of the circle.

The circumference C, also known as perimeter P, of a circle is the distance around a circle. $$\begin{aligned} C &= 2 \pi r \\ &= \pi d \end{aligned}$$

The area A of a circle is the region enclosed inside it. $$A = \pi r^{2}$$