Question

two circle of radii 10 cm and 8 cm intersect and the length of the common chords is 12 cm , find the distance between their centers​

Answer 1

Answer:

Step-by-step explanation:

Let O and O’ be the centres of two circle with radii 10 cm and 8 cm respectively.

So OP = 10 cm, O’P = 8 cm

And PQ = 12 cm

Then PL = ½ PQ = 6 cm

In △OLP, OP2 = OL2 + LP2

⇒ OL2 = OP2 – LP2

Distance between centres

OO’ = OL + LO’

= (8 + 5.29) cm

= 13.29 cm