Question

Select the correct answer. Which equation represents circle Q? A. (x − 11)2 + (y − 3)2 = 241 B. (x − 11)2 + (y − 3)2 = 209 C. (x + 11)2 + (y + 3)2 = 241 D. (x + 11)2 + (y + 3)2 = 209

Answer 1

(x+11)² + (y-3)² = 121

Explanation:

Let us assume we are given the following

Centre of a circle: (-11, 3)

Radius: 11

The standard equation of a circle is expressed as;

(x-a)² + (y-b)² = r²

(a, b) is the centre

r is the radius

a = -11, b = 3 and r = 11

Substitute

(x-(-11))² + (y-3)² = 11²

(x+11)² + (y-3)² = 121

Hence the required equation of the circle is (x+11)² + (y-3)² = 121

Note that the centre and the radius of the circle was assumed