Question

Write the standard form for the equation of the circle with the given center and radius.(0, 0); 8

Answer 1

The equation of a circle is represented as:

`(x-h)^2+(y-k)^2=r^2`

Here, (h, k) represents the center of the circle, and 'r' represents the radius of the circle.

According to given parameters:

(h, k) = (0, 0)

or

h = 0

k = 0

and

r = 8

Now, put all the values in the above equation to get the equation of the circle.

`(x-0)^2+(y-0)^2=8^2`
`x^2+y^2=64`

Hence, the equation of circle is x^2 + y^2 = 64.