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"

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) (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)

RELATED QUESTIONS
Please explain this to me..! Q: Giventhe circle with radius 'r', express the length of (answered by jim_thompson5910)

Given a circle with radius 5cm and chord AB, measuring 6cm, find the perpendicular... (answered by ramkikk66)

Let AB be a chord in a circle centered at O with radius r. For what point M on the arc AB (answered by solver91311)

In a circle of radius 13 cm the length of its chord is 10 cm. Find the perpendicular... (answered by josgarithmetic)

given a circle, draw two chords who's lengths are in the ratio 1:2 and who's distances... (answered by ankor@dixie-net.com)

A chord in a circle is 16cm long and its perpendicular distance from the center of the... (answered by Alan3354)

SOLUTION: express the length l of a chord of a circle of radius 8 in. as a function of... (answered by ikleyn)

In a circle whose radius is 13, a chord has a length of 24. Find the distance of this... (answered by checkley75)

Let y be a circle with center A and radius of length r. Let y' be another Circle with... (answered by solver91311)