SOLUTION: Given a circle with radius "r", express the length of chord "c" in terms of "r and d" when the perpendicular distance from the chord is "d"

Algebra ->  Pythagorean-theorem -> SOLUTION: Given a circle with radius "r", express the length of chord "c" in terms of "r and d" when the perpendicular distance from the chord is "d"      Log On


   



Question 773270: Given a circle with radius "r", express the length of chord "c" in terms of "r and d" when the perpendicular distance from the chord is "d"
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
radius = r
d= distance of chord from center
length of chord = c
half the length of chord ,the radius and the distance from center form a right triangle
(c/2)^2= r^2-d^2
c^2/4 = (r^2-d^2)
c^2=4(r^2-d^2)
c=+2%2Asqrt%28r%5E2-d%5E2%29