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 .

i think it is 18

step-by-step explanation:

the answer is:

the answer is:

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

have a nice day!