Question

A circle has 24 pi as its circumference. What is the, diameter, radius, and area?

Answer 1

See below.

Explanation:

We are asked for the diameter, radius, and area of a circle.

We are given the Circumference.

We should know that;

`Circumference = (diameter)\pi`

`Circumference = 24\pi` (Exact)

This means that the Diameter is 24.

The Radius is
`(1)/(2)` of the Diameter.

This means that the Radius is 12.

The area of a circle is represented as;

`Area = \pi(radius)^2`

We have the requirements to find the area, with the value of the radius.

Solve for the area;

`Area = \pi(12)^2`

`Area = 144 \pi` (Exact)

`Area = about \ 452.39.` (Approx.)