Question

from a point p, the length of the tangent to a circal is 15 cm and distance of pfrom the centar of the circal is 17 cm than what is the radius of the circal?

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Answer 1

Answer:

ANSWER

Given−OisthecentreofacircletowhichatangentPQhasbeendrawntothecircleatQwhenOP=17cm.PQ=15cmTofindout−Theradiusofthegivencircle=?Solution−WejoinOQ.∴OQisaradiusofthecirclethroughthepointofcontactTofthetangentPQ.Weknowthattheradiithroughthepointofcontactofatangenttoacircleisperpendiculartothetangent.∴OQ⊥PQ⟹∠OQP=90o.∴ΔOQPisarightonewithOPashypotenuse.So,applyingPythagorastheorem,wegetOQ=OP2−PQ2=172−152