Question
Download Solution PDFTwo circles of same radius 6 cm, intersect each other at P and Q. If PQ = 10 cm, then what is the distance between the centres of the two circles?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCalculation:
According to the given picture, O1 and O2 be the centres of the two circles,
The line joining the centers O1O2 bisect PQ at R
So, the ΔPRO1 is a right-angle triangle, right angle at ∠R
From Pythagoras theorem,
O1R = √(62 - 52)
⇒ O1R = √11
Now, distance between O1 and O2 is 2 × O1R = 2√11 cm
∴ The correct answer is 2√11 cm
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