Question

draw a circle of radious 2cm from a point 5cm away from its centre , construct a pair of tangents to the circle measure their length

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Answer 1

Answer:

Draw a circle of radius r=2cm and mark the center as O

Take a point A on the circle and join OA

Taking OA as base and O as vertex, mark an arc of 100

o

from OA and then join OB

Taking OA and OB as base and A and B as vertex respectively, draw ray perpendicular to OA and OB

These rays intersect at point T. AT and BT would be the required tangents.

We know, sum of angles in a quadrilateral =360

o

∠TAO+∠TBO+∠AOB+∠ATB=360

o

90+90+100+∠ATB=360

∠ATB=80= (Angle between tangents)

solution