The angle of a sector of a circle of radius 3.4 cm is 115°. Find the area of the sector.

\((Take \pi = \frac{22}{7})\)

A.

\(11.6cm^2\)

B.

\(12.7cm^2\)

C.

\(10.2cm^2\)

D.

\(9.4cm^2\)

Correct answer is A

\(\theta = 115° , radius = 3.4cm^2\)

Area of a sector = \(\frac{\theta}{360} \times \pi r^2\)

= \(\frac{115}{360} \times \frac{22}{7} \times 3.4\times 3.4\)

= \(\frac{29246.4}{2520}\)

= \(11.6cm^2\)