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+## 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+## Properties of isoscles triangle.+## Properties of quadrillateral ( sum of all angles) is 360 degrees+## Sum of three angles of triangle is 180 degrees.+
+
===Prerequisites/Instructions, prior preparations, if any===
===Prerequisites/Instructions, prior preparations, if any===
+Knowledge about Circle, radius, angle
+
===Materials/ Resources needed===
===Materials/ Resources needed===
−Click here to [https://karnatakaeducation.org.in/KOER/en/images/2/2b/TANGENTS_TO_A_CIRCLE.ggb open] the file
+Digital: Click here to [https://karnatakaeducation.org.in/KOER/en/images/2/2b/TANGENTS_TO_A_CIRCLE.ggb open] the file
+Non-digital:Paper, pencil, ruler, compass, protractor.
===Process (How to do the activity)===
===Process (How to do the activity)===
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'''Procedure:'''
'''Procedure:'''
−# O is the center of the circle and tangents AP and AQ are drawn from an external point A.
+# 'A' is the center of the circle
−# OP and OQ are the radii.
+# What are 'AD' and 'AE' with respect to the circle?
−# The radii of a circle are equal.
+# What type of angles are ∠BDA and ∠BEA ?
−# 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
+# Name the tangents drawn from the external point B to the circle
−## 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.
+# Measure AD and AE. What is your conclusions?
−## 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
+# What type of triangles are BDA and BEA ?
−# What is AB with respect to triangle BDA and BEA ?
−# Are triangle BDA and BEA congruent to each other?
−# 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 external point.
+# Properties of quadrilateral (sum of all angles) is 360 degrees
+# Angle between the two tangents from a point outside the circle is supplementary to the angle subtended by the line segments joining points of contact at the centre.
+=== Evaluation at the end of activity ===
+Tangents AP and AQ are drawn to circle with centre 'O', from an external point 'A'.Prove that ∠PAQ=2∠OPQ
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]]
