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

Question

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

Philoid · Accepted Answer

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