Question

Write the equation in standard form for the circle with center (0,2) and radius 10

Answer 1

A circle with a radius of 10 and a center (0,2) is given. It is required to find the equation in standard form for the circle.

Recall that the Standard Form of the Equation of a Circle with center (h,k), and radius, r is given as:

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

Substitute the center (h,k)=(0,2) and the radius, r=10 into the formula:

`(x-0)^2+(y-2)^2=10^2`

Simplify the expressions:

`\Rightarrow x^2+(y-2)^2=100`

Hence, the required equation in standard form is x²+(y-2)²=100.