A circle has a diameter with endpoints $( - 2,1 )$ and $( 22,11 )$. Find the radius.
A) $\sqrt { 26 }$
B) $\sqrt { 13 }$
C) 26
D) 13

Question

Quizplus · Accepted Answer

The radius is half the distance between the endpoints of the diameter. The distance between the points $(-2,1)$ and $(22,11)$ can be found using the distance formula: $\sqrt{(22 - (-2))^2 + (11 - 1)^2} = \sqrt{24^2 + 10^2} = \sqrt{576 + 100} = \sqrt{676} = 26$. Therefore, the radius, being half of the diameter, is $26/2 = 13$.

A Circle Has a Diameter with Endpoints (−2,1)( - 2,1 )(−2,1)

A Circle Has a Diameter with Endpoints $( - 2,1 )$