Question

the diameter of a circle is 5 meters. what is the area?Give the exact answer in simplest form.

Answer 1

The area of the circle is given by:

$A=\frac{\pi\cdot d^2}{4}$

Where d is the diameter, so:

$A=\frac{\pi\cdot(5)^2}{4}=\frac{\pi\cdot25}{4}=\frac{25}{4}\pi$

Answer:

$\frac{25}{4}\pi\text{ square meters}$