Find the equation of the circle whose center and radius are given. center (0, 8), radius = 8

The equation of circle is

Step-by-step explanation:

Given: Centre of circle: (0,8) and Radius = 8

Formula: Equation of circle if centre (h,k) and radius r

Where, (h,k)-> (0,8) and r=8

Now, we will put the value of centre and radius into formula

Equation of circle:

In expanded form equation of circle.

Hence, The equation of circle is

for this case we must apply distributive property to the following expression:

the distributive property states that:

then, when applying the property we have to multiply the -2 for each term within the parenthesis: