Determine the coordinates of the center and the measure of the radius for each circle whose equation is given.

Question

( x-3)² 1 ( y +1)^₂ = 16

(X+5/8)² +(Y+2)² - 25/7=0

(X-3.2)² +(Y-0.75)² =37.21

Answer 1

The equation for a circle is (x-a)²+(y-b)²=c²

The center is (a,b) and the radius is c.

 

1) center (3,-1) and radius √16=4

 

2) center (-5/8,-2) and radius √(25/7)=√25/√7=5/√7=5√7/7

 

3) center (3.2,0.75) and radius √(37.21)=6.1