Question

A circle with center at (12,−1) passes through (0,−1). Find the circumference and area of the circle in terms of p.

Answer 1

C = 75.36

A = 452.16

Explanation:

Find the radius r by finding the distance between (12,-1) and (0,-1) using the distance formula.

`d = √((12-0)^2 + (-1--1)^2) =√((12)^2 + (0^2) =√(144+0) =√(144)=12`

The radius is 12.

So the circumference of the circle is
`C = 2\pi r = 2\pi 12 = 24\pi = 75.36`

So the area of the circle is
`A = \pi r^2\\A = \pi 12^2\\A = 144\pi\\A = 452.16`