SOLUTION: If the radius of a circle is 15 cm and a chord is 10 cm, find the exact distance of the chord {{{highlight(cross(which_is))}}} from the center of the circle. Thanks!

Algebra ->  Circles -> SOLUTION: If the radius of a circle is 15 cm and a chord is 10 cm, find the exact distance of the chord {{{highlight(cross(which_is))}}} from the center of the circle. Thanks!      Log On


   

Question 1055615: If the radius of a circle is 15 cm and a chord is 10 cm, find the exact distance of the chord highlight%28cross%28which_is%29%29 from the center of the circle.
Thanks!
Answer by ikleyn(52809) About Me  (Show Source):
You can put this solution on YOUR website!
.
d, the distance, is

d = sqrt%2815%5E2+-+%2810%2F2%29%5E2%29 = sqrt%28225-25%29 = sqrt%28200%29 = 10%2Asqrt%282%29 cm.