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Mathematics Lab Activity-16 Class X | Tangent to a Circle
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Mathematics Lab Activity-16 Class X
Chapter - 10
tangent to a circle
Activity - 16
ObjectiveGlazed papers of different colours, geometry box, sketch pen, scissors, cutter and glue.
1. Draw a circle of any radius, with centre O on a coloured glazed paper of a convenient size [see Fig. 1].
2. Take any point P outside the circle.
3. Place a ruler touching the point P and the circle, lift the paper and fold it to create a crease passing through the point P [see Fig. 2].
4. Created crease is a tangent to the circle from the point P. Mark the point of contact of the tangent and the circle as Q. Join PQ [see Fig. 3].
1. Fold the circle along OP.
2. We observe that Q coincides with R. Therefore, QP = RP, i.e.,
length of the tangent QP = length of the tangent RP.
On actual measurement:
3. Length of tangent QP = 4 cm
4. Length of tangent RP = 4 cm
So, length of tangent QP = length of tangent RP
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