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From Karnataka Open Educational Resources
Construction of tanget to a circle and its properties (view source)
Revision as of 14:05, 19 December 2020
, 14:05, 19 December 2020added Category:Circles using HotCat
=== Objectives ===
=== Objectives ===
Understand the construction of Tangents from an external point and its properties.
=== Estimated Time ===
=== Estimated Time ===
40 minutes
=== Prerequisites/Instructions, prior preparations, if any ===
=== Prerequisites/Instructions, prior preparations, if any ===
Knowledge about radius, perpendicular bisector, tangents
=== Materials/ Resources needed ===
=== Materials/ Resources needed ===
Click here to [[:File:Tangents to a circle and its properties.ggb|open]] the file
Digital: Click here to [[:File:Tangents to a circle and its properties.ggb|open]] the file
Non-Digital : paper, pencil, ruler, compass, protractor
=== Process (How to do the activity) ===
=== Process (How to do the activity) ===
{{Geogebra|g2v6gfps}}'''Procedure:'''
{{Geogebra|g2v6gfps}}'''Procedure:'''
# Draw a circle with centre 'O' and radius and take a point 'P' away from the centre and join OP.
# Draw the perpendicular bisector of OP and mark the mid point of OP as C.
# With CO or CP as radius draw a circle to intersect the circle already drawn mark and name the intersecting points Q and R.
Length of tangents from an external points are equal.
# Join PQ and PR. PQ and PR are the required tangents.
# Measure PQ and PR. What is your conclusions?
# Length of tangents from an external point are equal i.e. length of tangent PQ is equal to length of tangent PR
# Join OQ and OR, find angles QPR and ROQ.
# Sum of the angle at the centre of circle and at external point is supplementary. Sum of opposite angles=180°
# Move slider or point P to verify the properties
Sum of the angle at the centre of circle and at external point is supplementary.
Sum of opposite angles=
=== Evaluation at the end of the activity ===
=== Evaluation at the end of the activity ===
# Construct a circle of radius 6 cm and construct tangents to it from an external point 10 cm away from the centre. Measure and verify the length of the tangents.
# Construct a pair of tangents to a circle of radius 3.5 cm from a point 3.5 cm away from the circle.
Go back - [https://karnatakaeducation.org.in/KOER/en/index.php/Circles?veaction=edit§ion=42 click here]
[[Category:Circles]]
