geometry

In a circle with centre P,a chord AB is parallel to a tangent & inersects the radius drawn from a point of contact at the midpoint of the radius .If AB=12,FIND THE RADIUS OF THE CIRCLE.

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  1. In a circle with centre P,a chord AB is parallel to a tangent & intersects the radius drawn from a point of contact at the midpoint of the radius .If AB=12,FIND THE RADIUS OF THE CIRCLE.

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    2. 👎
  2. let the radius be 2x
    then I see a right-angled triangle with sides x , 6 and hypotenuse 2x
    (2x)^2 = x^2 + 6^2
    3x^2 = 36
    x^2 = 12
    x = √12 = 2√3

    so the radius is 4√3

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