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Grade: 10

                        

2 tangents making an angle of 120 degrees with each other, are drawn to a circle of radius 6 cm, then the length of each tangent is equal to?

9 years ago

Answers : (2)

R.G. LOKKESH
19 Points
							

dear student,draw a circle of radius 6cm.draw an angle aob of 120degree.at A and B,draw an angle 90degree wich meets at C.then ,AC and BC are the  required tangents which are inclined to each other at an angle of 60 degree.                    

9 years ago
vikas askiitian expert
509 Points
							

let point of intersection is P & center of circle is O ...

let one of the tangent touches the circle at R then

POR is a right angled triangle with OPR = 60o , POR = 90o & POR = 30o ...

now let three sides of this triangle are a,b,c then

a/sinA = b/sinB = c/sinC  by using this identity we get

L/sin30 = R/sin60

L = R/root3

L is length of tangent

9 years ago
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