In a circle centred at O. AB is a chord and C is any point on AB, such that OC is perpendicular to AB. If the length of the chord is 16 cm and OC = 6 cm, the radius of circle is:
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e 10 cm.
| Understanding/Application |
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Let the radius of the circle be r. AB = 16 cm, OC = 6 cm OC is perpendicular to the chord AB. In a circle, perpendicular from the centre of the circle to the chord bisects the chord. AC = BC = 8 cm |
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In triangle OAC - AC2 + OC2 = OA2 82 + 62 = r2 r = 10 cm |