Question

ABand CDare two chords of a circle on the same side of the centre such that AB= 8 cm, CD = 10 cm and AB || CD. If the distance between AB and CDis 2 cm, then find the radius of the circle.

Answer 1

Step-by-step explanation:

DRAW A PERPENDICULAR LINE FROM THE CENTRE OF THE CIRCLE TO BOTH THE C H O R D S.

APPLY PGT ON THE FORMED TRIANGLES.

THE PERPENDICULAR LINES FROM THE CENTRE OF CIRCLE TO THE CHORDS CUT THEM INTO TWO EQUAL HALVES.

LET THE DISTANCE OF CD FROM THE CENTRE OF CIRCLE EQUAL TO X.

SO BY APPLYING PGT WE WILL GET THE FOLLOWING EQUATIONS,

R^2 = 5^2 + X ^2 -(I)

R^2 = 4^2 + (X+2) ^2 -(II)

I HOPE YOU WILL SOLVE THIS EQUATIONS.

VALUE OF X=5/4

VALUE OF R=5√17/4

The values are coming very weird .

I think so that there must be some problem in the question because according to my solution the answers are these only if question statement is correct.