Draw a circle of radius 6 cm. From a point 10 cm away from its centre, construct a pair of tangents to the circle. Measure the length of each of the tangent segments.

Steps of Construction:


1. Draw a circle with centre O with radius OL and a point P outside it. Join PO and bisect it. Let M be the midpoint of PO.


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2. Taking M as centre and MO as radius, we will draw a circle.


Let it intersect the given circle at the points Q and R.


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3. Join PQ and PR.


Then PQ and PR are the required two tangents.


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4. Join OQ. Then PQO is an angle in the semicircle and,


PQO = 90°


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Since, OQ is a radius of the given circle, PQ has to be a tangent to the circle.


Similarly,


PR is also a tangent to the circle.


After measuring the lenghts of tangents using scale, we find that both the tangents are equal in length which concludes that all the measurements and steps done correctly.


Length of Each Tangent = 8 cm


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