Question

From a point P, 10cm away from the centre of a circle, a tangent PT of length
8cm is drawn. Find the radius of the circle.
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Answer 1

Answer:

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Answer 2

Step-by-step explanation:

Let centre of circle be O

So, point P is 10 cm away

OP = 10cm

Let, OT = X,

PT = Tangent = 8 cm

By, Pythagorus theorem,

(OP)^2 = (PT)^2 + (OT)^2

10 * 10 = X^2 + 8 * 8

100 - 64 = X^2

X^2 = 36

X = 6

So, OT = Radius = 6

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