AB and CD are two parallel chords of a circle whose centre is O and radius is 20cm.If Ab=24cm and CD=32cm find distance between AB and CD. If it's given that they lie. 1.onthe opposite sides of centreO. 2.on the same side of the centre o.

Answer 1

I will do same side
one radius is 12, the other 16
to find center to the 12 radius
12^2 + h^2 = 20^2
144 + h^2 = 400
256 = h^2
h = 16
now to the 16 radius
256 + h^2 = 400
h = 12
so distance between = 4 (part B)

now if the 12 is on the other side of center we have 12 + 16 = 28(part A)

Answer 2

Damon didn't mean radius, he meant half of the chord length

draw the picture and you will see

Answer 3

AB and CD are parellel chords of a circle whose center is O and radius 20cm if AB =24cm anf CD=32cm find the distance between AB and CD when it is given that they lie on the opposite side of the center O