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

8p
4p
64p
16p

Step-by-step explanation:

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

, where r is the radius of the circle.

The given equation of the circle is . it can be rewrite as ,

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 :-

then, the surface area of the sphere shown in the image is: 256π sq. units!

step-by-step explanation:

the lateral surface area of a sphere is 2πrh where h=2r.

then:

surface area = 4πr^2.

in this case, r=8 units ⇒ surface area = 4π(8 units)^2. = 256π sq. units!

then, the surface area of the sphere shown in the image is: 256π sq. units!