Class 10 Exam > Class 10 Notes > Lab Manual: Tangents drawn from an External Point
Lab Manual: Tangents drawn from an External Point - Class 10 PDF Download
Objective
To verify experimentally that lengths of tangents drawn from an external point to a circle are equal.
Tangent
A line touchingthe circle at a point is called a tangent to the circle.
Prerequisite Knowledge
- Tangent to a circle.
- Length of a tangent.
Materials Required
Glazed papers, a white chart paper, sketch pens, a pair of scissors, geometry box, fevicol.
Procedure
- Cut a circle of any radius from a glazed paper and paste it on a white chart paper.
- Take any point P on the circle.
- From P, fold the paper in such a way that it just touches the circle at P. Press it and unfold to get a tangent PA.
- From A, fold the paper to get tangent AQ.
- Fold the circle along OA.
- Join OP, OA, OQ.
Observation
Students observe that point P coincide with Q
∴ AP = AQ
Result
Thus it is verified that lengths of tangents drawn from an external point to a circle are equal.
Learning Outcome
Students will learn how to measure tangents from an external point to a circle by using paper folding.
Activity Time
- Draw two tangents from a point P to a circle of radius 3 cm. If its distance from the centre is 10 cm, measure the lengths of the tangents. Are they equal ?
- In the adjoining figure, prove that AD+BC = AB+CD
- In the adjoining figure, find PQ and PR.
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About this Document
Apr 10, 2025
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