Difference between revisions of "Tangents to a circle"
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# O is the center of the circle and tangents AP and AQ are drawn from an external point A. | # O is the center of the circle and tangents AP and AQ are drawn from an external point A. | ||
# OP and OQ are the radii. | # OP and OQ are the radii. | ||
| + | # The radii of a circle are equal. | ||
| + | ## In any circle the radius drawn at the point of contact is perpendicular to the tangent.∠BDA=∠BEA=90 | ||
| + | ## We can draw two tangents to a circle from a point outside the circle | ||
| + | ## The lengths of the tangents from a point to a circle are equal BD=BE | ||
| + | ## The tangent drawn from an external point to a circle a] are equal b] subtend equal angle at the centre c] are equally inclined to the line joining the centre and extrnal point. | ||
| + | ## Angle between the two tangents from a point outside the circle is supplementary to the angle subtended by the line segmnets joining points of contact at the cente | ||
| + | ## Properties of isoscles triangle. | ||
| + | ## Properties of quadrillateral ( sum of all angles) is 360 degrees | ||
| + | ## Sum of three angles of triangle is 180 degrees. | ||
Go back - [https://karnatakaeducation.org.in/KOER/en/index.php/KVS_Circles#Tangents_to_a_Circle click here] | Go back - [https://karnatakaeducation.org.in/KOER/en/index.php/KVS_Circles#Tangents_to_a_Circle click here] | ||
[[Category:Circles]] | [[Category:Circles]] | ||
Revision as of 18:09, 27 August 2020
Objectives
To understand what is a tangent and its relationship to the circle
Estimated Time
30 minutes
Prerequisites/Instructions, prior preparations, if any
Materials/ Resources needed
Click here to open the file
Process (How to do the activity)
Download this geogebra file from this link.
Procedure:
- O is the center of the circle and tangents AP and AQ are drawn from an external point A.
- OP and OQ are the radii.
- The radii of a circle are equal.
- In any circle the radius drawn at the point of contact is perpendicular to the tangent.∠BDA=∠BEA=90
- We can draw two tangents to a circle from a point outside the circle
- The lengths of the tangents from a point to a circle are equal BD=BE
- The tangent drawn from an external point to a circle a] are equal b] subtend equal angle at the centre c] are equally inclined to the line joining the centre and extrnal point.
- Angle between the two tangents from a point outside the circle is supplementary to the angle subtended by the line segmnets joining points of contact at the cente
- Properties of isoscles triangle.
- Properties of quadrillateral ( sum of all angles) is 360 degrees
- Sum of three angles of triangle is 180 degrees.
Go back - click here