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Q.1.I to 3, choose the correct option and give justification.From a point Q, the length of the tangent to a circle is 24 cm and the distance of Q fromthe centre is 25 cm. The radius of the circle is |
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Answer» Answer : 7 cm Explanation:Let O be the centre of the circle. Given that, OQ = 25cm and PQ = 24 cm As the radius is perpendicular to the tangent at the point of contact, Therefore, OP ⊥ PQ Applying Pythagoras theorem in ΔOPQ, we obtain OP2 + PQ2 = OQ2 OP2 + 242 = 252 OP2 = 625 − 576 OP2 = 49 OP = 7 Therefore, the radius of the circle is 7 cm. please like my answer if you find it useful |
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