to draw a pair of tangents to a circle with center O and radius 'r' from apoint P SUCH THAT - Maths - Circles

Question

to draw a pair of tangents to a circle with center O and radius
'r' from apoint P SUCH THAT OP=2r ,then the ange btwn two tangent
is:

Manmeet Singh · Accepted Answer

A circle with centre O and radius r cm OP = 2r cm

Consider the right triangle, OPY, $\sin θ = \frac{O Y}{O P} = \frac{r}{2 r} = \frac{1}{2} θ = \sin^{- 1} (\frac{1}{2}) = 30^{°}$ Similarly, âˆ XPO = $30^{°}$ So, the angle between tangents = $30^{°} + 30^{°} = 60^{°}$

to draw a pair of tangents to a circle with center O and radius 'r' from apoint P SUCH THAT OP=2r ,then the ange btwn two tangent is: