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 cmB. 2 cmC. 2√3 cmD. 4√3 cm

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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