1. AB is a tangent to a circle with centre O. If the radius at the circle is 7 cm and the length of AB is 24 cm, the what is the length (in cm.) of OA ?





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  • By: anil on 05 May 2019 02.28 am
    Given : OB is radius of circle = 7 cm and tangent AB = 24 cm To find : OA = ? Solution : The radius of a circle intersects the tangent at right angle, => $$angle OBA = 90^circ$$ Thus in $$ riangle$$ OAB, => $$(OA)^2=(OB)^2+(AB)^2$$ => $$(OA)^2=(7)^2+(24)^2$$ => $$(OA)^2=49+576=625$$ => $$OA=sqrt{625}=25$$ cm => Ans - (A)
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