# How do you find the area of a circle in terms of pi if the diameter is 2.1m?

Sep 8, 2015

The area of the circle is $1.1025 \pi$ square meters.

#### Explanation:

The formula for the area of a circle is:

$A r e a = \pi {r}^{2}$

You can't use this formula directly, because you're given the diameter, not the radius.

The radius of a circle is half of the diameter, so we divide the diameter by $2$.

$2.1 \div 2 = 1.05$

Since the radius is $1.05$ meters, the area is

$\pi \cdot {\left(1.05\right)}^{2}$ square meters.

$1.05 \times 1.05 = 1.1025$ square meters.

The area of the circle is $1.1025 \pi$ square meters.