Question

The distance from the center of a compact disc to the edge of the disc is 6 centimeters. What's the area of the compact disc? A. 36 square centimeters B. 452.16 square centimeters C. 18.84 square centimeters D. 113.04 square centimeters

Answer 1

The area of the compact disc is 113.04 square centimeters

Step-by-step explanation:

A compact disc can be seen simplistically like a circle.

The area of a circle is given by the formula:

`A_(circle) = \pi * r^(2)`.

Where
`\pi` is the ratio between the length of a circle's circumference to its diameter, and it is, approximately,
`\pi = 3.14159265358979....`.

And r is the circle's radius (in this case, the distance from the center of a compact disc to the edge of the disc).

For practical purposes,
`\pi` is usually taken with only few decimals (that is,
`\pi = 3.14`).

So, the area of the compact disc is:

`\pi * (6cm)^(2)= \pi * 36cm^2 = 3.14 * 36cm^2= 113.04cm^2`.