Question

find the diameter of circle below if O is center of circle

Answer 1

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Answer 2

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Step-by-step explanation:

Since,

Length of the tangent (AB) = 8 cm

And Distance between center and the point (OB) =10 cm.

Let the radius (OA) be r

Now, in right ∆ OAB

OB² = OA² + AB²

=> 10² = r² + 8²

=> 100 = r² + 64

=> 100 - 64 = r²

=> 36 = r²

=> r = 6 cm

Therefore, diameter = 2 x radius = 2 x 6 = 12 cm

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