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What is the length of a chord which is 12 cm from the center of a circle with radius 15 cm? |
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Answer» AP= BP = AB/2 = x/2 In AOP, ∠APO = 90° By Pythagoras,
(AO)^2 = (AP)^2 + (OP)^2 (15)^2 = (x/2)^2 + (12)^2 225 = x^2/4 + 144 x^2/4 = 225 - 144 x^2 /4 = 81 x^2 = 81 ×4 x^2 = 324 x = 18 cm |
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