SOLUTION: pq and rs are two parallel horizontal chords 6 cm and 8 cm long in the upper half of a circle.if the radius of the circle is 5cm . the distance in cm between the chords is
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Question 349563: pq and rs are two parallel horizontal chords 6 cm and 8 cm long in the upper half of a circle.if the radius of the circle is 5cm . the distance in cm between the chords is
A 1 B 2 C 3 D 4 Answer by mananth(16946) (Show Source):
You can put this solution on YOUR website! The radius bisects the chord. The chords are of length 8 & 6.
The radius,perpendicular distance from center to chord and the chord form a right triangle.
Apply pythagorean formula
for both triangles
Radius is the hypotenuse.
5^2-4^2
25-16=9
sqrt9 = 3
....
5^2-3^2
25-9=16
sqrt16=4
the distance between the chords = 1 in.
