# What is the area of a circle with a diameter of 15m?

Sep 30, 2015

Use the formula $A = \pi \cdot {r}^{2}$

Area=$56.25 \cdot \pi$ $m$ or $\frac{225}{4} \cdot \pi$ $m$ or approximately $176.7$ $m$

#### Explanation:

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

The radius if half the diameter, so

$r = \frac{1}{2} \cdot d$

$r = \frac{1}{2} \cdot 15 m$

$r = 7.5 m$

Therefore,

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

$A = \pi \cdot {\left(7.5\right)}^{2}$

$A = 56.25 \cdot \pi$ $m$ or $A \approx 176.7$ $m$ (correct to 1 decimal place)