SOLUTION: The diameter of a circle is 136 cm, and a chord of the circle is 64 cm long. What is the distance between the chord and the center of the circle?

Algebra ->  Circles -> SOLUTION: The diameter of a circle is 136 cm, and a chord of the circle is 64 cm long. What is the distance between the chord and the center of the circle?      Log On


   



Question 808179: The diameter of a circle is 136 cm, and a chord of the circle is 64 cm long. What is the distance between the chord and the center of the circle?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
diameter = 136
r = 68
chord = 64
1/2 the chord = 32
The perpendicular line drawn from the center of the circle to the chord bisects the chord
the radius , half the chord and vertical segment form a right triangle
(Hyp)^2= (leg1)^2+ Leg2^2
Hypotenuse = 68 cm
leg1= 32 cm
Leg2= ?

leg2^2=hyp^2-leg1^2
Leg2^2= 68 ^2 - 32 ^2
Leg2^2= 4624 - 1024
Leg2^2= 3600
Leg2= sqrt%28%093600%09%29
Leg2= 60 cm