In the circle, chord AB of length 12 cm is bisected by diameter CD at P, so that CP = 3 cm. Radius of the circle is:
5.2 cm
6.5 cm
7.5 cm
8.3 cm
Circles
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Question

In the circle, chord AB of length 12 cm is bisected by diameter CD at P, so that CP = 3 cm. Radius of the circle is: 1. 5.2 cm 2. 6.5 cm 3. 7.5 cm 4. 8.3 cm

KnowledgeBoat · Accepted Answer

Given, Chord AB = 12 cm CD bisects chord AB at P AP = PB = = 6 cm CP = 3 cm OC = OA = R OP = OC - CP = R - 3 In triangle OPA, Apply the Pythagorean Theorem : OA2 = OP2 + AP2 R2 = (R - 3)2 + 62 R2 = R2 - 6R + 9 + 36 R2 = R2 - 6R + 45 6R = 45 R = = 7.5 cm Hence, option 3 is the correct option.

Mathematics

In the circle, chord AB of length 12 cm is bisected by diameter CD at P, so that CP = 3 cm. Radius of the circle is:
5.2 cm
6.5 cm
7.5 cm
8.3 cm

Circles

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