draw a pair of tangents of a circle of radius 4 cm such that the angle between the tangents is 70 degree
Answers
To draw a pair of tangents of a circle of radius 4 cm such that the angle between the tangents is 70 degree, steps are as follow:
1) With the help of a compass, draw a circle of radius 4cm.
2) Name the center as O.
3) Take a point P on circle.
4) Join OP and extend this segment beyond P to Q, such that, PQ is also 4cm.
5) We have OQ of total 8 cm.
6) Draw a perpendicular bisector to OQ.
7) This perpendicular bisector is the tangent to the circle and will touch the circle at point B.
8) Now taking O as center and OB as base draw a radius 110 degree to OB.
9) The point where radius meet circle, name it A.
10) Now taking A as center and AO as base draw a 90 degree angle.
11) Extent it. The point where this tangent meets previous tangent, name it C.
12) Angle between the two tangents will be 70 degrees.
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