Q. 155.0( 1 Vote )

In the given figure, AT is a tangent to the circle with center O such that OT = 4 cm and OTA = 30°. Then, AT = ?


A. 4 cm

B. 2 cm

C. 2√3 cm

D. 4√3 cm

Answer :

Given:  AT is a tangent to the circle with center O such that OT = 4 cm and ∠OTA = 30°.

To find: The value of AT.

Solution:




In
OAT ,


OA AT [Tangents drawn at a point on circle is perpendicular to the radius through point of contact]


OAT is a right - angled triangle at A and





AT = 2√3 cm

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