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The angle subtended by an arc of a circle at the centre is \...

The angle subtended by an arc of a circle at the centre is π3radians. If the radius of the circle is 12cm, calculate the perimeter of the major arc.

A.

4(6+5π)

B.

4(6+2π)

C.

4(3+3π)

D.

4(3+5π)

Correct answer is A

The angle subtended by the minor arc = π3radians

The angle subtended by the major arc = 2ππ3=5π3

Perimeter of the major arc = rθ+2r

= 12×5π3+2(12)=20π+24

= 4(5π+6)