Question

Substitute values for h, k, and r into the circle (x - 2)² + (y - k)² = r² (x - 5)2 + (y - (-3))2 = 34 (x - 5)2 + (y + 3)2 = 34 Exercises 12.2 Complete the following: . 1. Find the equation of the circle having the given center and ra (a) C(0, 0), r = 3 (b) C (-2 (c) C(4, 3), r = 5 (d) C (2

Answer 1

x² +y² = 9, (x+2)² +(y +5)² = 16

1.) Let's find the equation of the circle given C(0,0), r=3 and b) C(-2,-5) and r =4

The equation of a circle is given by

(x-h)²+(y-k)²= r² C(h, k)

2) Since the Center of the Circle has been given, then let's plug it in, and the radius as well

a) C(0,0) and r=3

(x-h)²+(y-k)²= r²

(x-0)²+(y-0)²= 3²

x² +y² = 9 Circle centered at the origin of the Cartesian Plane

b) C(-2,-5) and r =4

(x-h)²+(y-k)²= r²

(x+2)² +(y +5)² = 16 Since the coordinate of the center are negative