CBSE Class 9 Answered
Two circles of radii 10 cm and 8 cm intersect
each other at two points, and the length of the common chord is 12 cm. Find
the distance between their centers.
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
Expert Answer
Let O and O' be the centers of the circle of radii 10 cm and 8 cm respectively.
Let PQ be their common chord.
We have,
OP = 10 cm
O'P = 8 cm
PQ = 12 cm
(Perpendicular from the center of the circle to a chord bisects the chord).
In right OLP, we have
OP2 = OL2 + PL2
In right O'LP we have
(O'P)2 = (PL)2 + (O'L)2
OO' = 8 + 5.29
= 13.29 cm
Answered by | 04 Jun, 2014, 03:23: PM
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