Question

1. the center of a circle is (13, 18) and the point (3, 12) is on the circle. what is the radius of the circle? radius = 11 66 radius = 11.66 radius = enter your math steps here

Explanation:

Step1: Use distance formula for radius

Radius = distance between center (13,18) and point (3,12):
$$r = \sqrt{(13-3)^2 + (18-12)^2}$$

Step2: Calculate differences

$$13-3=10, \quad 18-12=6$$

Step3: Compute squares and sum

$$10^2 = 100, \quad 6^2=36, \quad 100+36=136$$

Step4: Find square root

$$r = \sqrt{136} \approx 11.66$$

Answer:

11.66