Geometry help

Question

write the equation for the circle with center (-16,-5) that has a circumference of 22π

Answer 1

Since C = 2πR, the radius of this circle is found by solving the following equation for R:

22π = 2πR

R = 22π/2π = 11

The equation of a circle centered at (h,k) with radius R is given by:

(x - h)² + (y - k)² = R²

[x - (-16)]² + [y - (-5)]² = 11²

desmos.com/calculator/xg4eq9h70v

Use the slider of v to see that the distance from the center to any point on the circle is always 11.

(x + 16)² + (y + 5)² = 121