Question

In a circle with centre P chord ab AB and chord CD are at a distance of 16cm from the centre if the diameter of the same circle is 48 cm then find the length of the chord ab and CD​

Answer 1

We have O as the centre of circle

join OA

we know that line segment joining the centre to the midpoint of the chord is perpendicular to the chord

Now, OE⊥AB

we have, Let,OC=xcm=OA(radiiofthecircle)

andOE=OC−EC=(x−3)cm

InΔOEA

OA

2

=OE

2

+AE

2

⇒x

2

=(x−3)

2

+4

2

⇒x=

6

25

⇒x=4.16cm