Question 138

A tangent is drawn to a circle from a point 13 cm away from its centre. If the length of that tangent is 12 cm, then the radius (in cms) of the circle is

Solution

Let the radius of the circle = r

From the triangle,

r$$^2$$ + 12$$^2$$ = 13$$^2$$

$$\Rightarrow$$ r$$^2$$ + 144 = 169

$$\Rightarrow$$ r$$^2$$ = 25

$$\Rightarrow$$ r = 5 cm

$$\therefore\ $$Radius of the circle = 5 cm

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