Difference between revisions of "Construction of tanget to a circle and its properties"
Jump to navigation
Jump to search
Line 1: | Line 1: | ||
=== 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 | + | # Join PQ and PR. PQ and PR are the required tangents. |
− | + | # Length of tangents from an external point are equal i.e. length of tangent PQ is equal to length of tangent PR | |
− | + | # 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=180° | |
− | |||
− | |||
− | 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/KVS_Circles#Construction_of_Tangent_to_a_Circle_and_their_properties click here] | Go back - [https://karnatakaeducation.org.in/KOER/en/index.php/KVS_Circles#Construction_of_Tangent_to_a_Circle_and_their_properties click here] |
Revision as of 07:39, 28 August 2020
Objectives
Understand the construction of Tangents from an external point and its properties.
Estimated Time
40 minutes
Prerequisites/Instructions, prior preparations, if any
Knowledge about radius, perpendicular bisector, tangents
Materials/ Resources needed
Digital: Click here to open the file
Non-Digital : paper, pencil, ruler, compass, protractor
Process (How to do the activity)
Download this geogebra file from this link.
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.
- Join PQ and PR. PQ and PR are the required tangents.
- Length of tangents from an external point are equal i.e. length of tangent PQ is equal to length of tangent PR
- 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=180°
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 - click here