Math Problem Solver

The diameter of a circle is $\frac{27}{\pi} \approx 8.59\, \text{cm}$.

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

Given: $$\begin{aligned}C&=27\end{aligned}$$

Diameter

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

Need:$$\begin{aligned}C&=2 \pi r\end{aligned} \quad \Rightarrow \quad \begin{aligned}27&=2 \pi r\end{aligned} \quad \Rightarrow \quad \begin{aligned}r&=\frac{27}{2 \pi} \approx 4.3\end{aligned}$$

Solution:$$\begin{aligned}d&=2 r\\d&=2 \left(\frac{27}{2 \pi}\right)\\d&=\frac{27}{\pi}\end{aligned}$$

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. $$A = \pi r^{2}$$