Answer:
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
