If two tangents inclined at an angle 60 deg are drawn to a circle of radius 3 cm then the length of ...........

Quantitative Aptitude (CGL) Mensuration 2D

If two tangents inclined at an angle 60° are drawn to a circle of radius 3 cm, then the length of each tangent is equal to?

3√3

4√6

9√3

8√3

छोटे Courses बड़े Results

Master Mensuration 2D

Prepare through Micro-courses

Try Now

Explanation:

The tangent to any circle is perpendicular to the radius of the circle at point of contact.
Let two Tangents originate from point A and touch the circle with centre O at point B & C
Now ABO is a right triangle with angle A as 30° and angle B as 90°
Given OB = 3 = Radius of circle.
Now OB/AB = tan 30°
=> AB = OB/tan 30°
= 3/(1/√3) = 3√3
Similarly, it can be shown that AC = 3√3