Question

Which equation is an equation of a circle with radius of 10 cm and center at (-3, 6)?

A) (x + 3)^2 + (y - 6)^2 = 20
B) ( x + 3)^2 + (y - 6)^2 = 100
C) ( x - 3)^2 + (y + 6)^2 = 20
D) (x - 3)^2 + (y + 6)^2 = 100

please show your work

Answer 1

The equation for a circle is
(x-h)^2 + (y-k)^2 = r^2
(-3,6)
-3 is h
6 is k

(x+3)^2 + (y-6)^2 = 10^2
10^2 = 100

(x+3)^2 + (y-6)^2 =100
The answer is B!