A circle has a center at (-2, 5) and a radius of bold 3 square root of bold 2units. What is the equation of the circle in standard form?

Given:

The center of the circle = (-2,5)

The radius of the circle = units.

To find:

The equation of the circle is standard form.

Solution:

The standard form of a circle is:

              ...(i)

Where, (h,k) is the center of the circle and r is the radius of the circle.

It is given that the center of the circle is (-2,5). So, .

The radius of the circle is units. So, .

Putting and in (i), we get

Therefore, the equation of the circle is .

the entire expression should be subtracted from 30. to subtract the quantity, distribute the negative sign, which changes the signs on the terms. so, the –2 changes to positive and gets added to 30 instead of subtracted from it.

hope this ! ^w^