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Question
In the following figure, CP and CQ are tangents to a circle with centre O. ARB is another tangent touching the circle at R. If CP = 11 cm and BC = 7 cm, then find the length of BR.
Sum
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Solution
Given:
CP = 11 cm (so CQ = 11 cm, tangents from C are equal).
BC = 7 cm.
Step-wise calculation:
1. Since CP = CQ, CQ = 11 cm.
2. On CQ the point B divides it, so BQ = CQ – BC = 11 – 7 = 4 cm.
3. Tangents from the same external point are equal, so BR = BQ = 4 cm.
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