Q. 5

In figure, AT is

Answer :

Given: A circle with center O and a tangent AT passing through point A on the circle, also OT = 4 cm and OTA = 30°.


To find: Length of AT


Construction: Join OA.



Explanation:


We know that, the tangent at any point of a circle is perpendicular to the radius through the point of contact.


So we have


OA AT


Therefore, OAT = 90°


In OAT


Using



We have,




AT=2√3 cm


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