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
Get AI Help?
Create a FREE account and get:
- Download Maths Shortcuts PDF
- Get 300+ previous papers with solutions PDF
- 500+ Online Tests for Free
