Question

Find area and circumference of the circle given by the equation below.

x^2-12x+y^2+8y+48=0

Answer 1

Step 1:

The circle equation is .

Rewrite the circle equation in the form of

Here, circle centered and radius .

Find the area of the circle.

Area of the circle is

Substitute in the area of the circle.

Find the circumference of the circle.

Circumference of the circle is

Solution:

Area of the circle is

Circumference of the circle is