# Let chord CD is parallel to tangent to circle at point A as shown in figure CD = 2, ∠CAD= Π/3, then area of ΔCAD is ? (A) √3 (B) 4√3 (C) 16√3 (D) 4

##### 1 Answer

Dec 24, 2015

(A)

#### Explanation:

Note that

Therefore

and since

Therefore

Therefore the semi-perimeter is (2+2+2)/2 =3#

and by Heron's Formula for the area of a triangle

The area of the given triangle is