Question

What is the circumference of the circle whose equation is (x - 9)2 + (y - 3)2 = 64?

8p
4p
64p
16p

Answer 1

16 p is the answer.
Use the formula C=2 x pi x R
r is 64(given)
Solve for C, you get 50.27 or 16pi

Answer 2

Answer:
`16\pi`

Explanation:

We know that standard equation of a circle is given by :-

`(x-a)^2+(y-b)^2=r^2`, where r is the radius of the circle.

The given equation of the circle is
`(x - 9)2 + (y - 3)2 = 64`. it can be rewrite as
`(x - 9)2 + (y - 3)2 = 8^2`,

When we compare the given equation to the standard equation of the cicrl;e, it can be seen that the radius of the circle = 8 units.

Now, the circumference of a circle is given by :-

`C=2\pi r=2\pi(8)=16\pi`