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

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

View More Questions From Quant

Create a FREE account and get:

Download resources