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

Step-by-step explanation:

hello:

an equation is : (x-0) ² + (y-8) ² = 8²

x² + (y-8) ² = 64

The equation of circle is x² + y² - 16x = 0

Step-by-step explanation:

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

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

(x - h) ² + (y - k) ² = r²

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

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

Equation of circle:

(x - 0) ² + (y - 8) ² = 8 ²

x² + (y - 8) ² = 64

In expanded form equation of circle.

x² + y² - 16x + 64 = 64

x² + y² - 16x = 0

Hence, The equation of circle is

x² + y² - 16x = 0