Question

Write the equation, please.

Answer 1

Explanation:

we are given a circle

we want to figure out the equation of the circle

remember that,

(h,k) are the centre of the circle

we can clearly see that the centre of the circle is (0,0) and the redious is 7 units

thus substitute:

further simplification is needed:

and we are done!

Answer 2

x^2+y^2 = 49

Explanation:

This is a circle.

The generic equation of a circle is

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

where (h,k) is the center and r is the radius

The center of the circle is at the origin which is (0,0)

The radius is 7

(x-0)^2+(y-0)^2 = 7^2

x^2+y^2 = 49