An arc subtends an angle of 50

^{o}at the center of circle of radius 6cm. Calculate the area of the sector formed-
**A.**^{100}/_{7} -
**B.**^{80}/_{7} -
**C.**^{110}/_{7} -
**D.**^{90}/_{7}

##### Correct Answer: Option C

##### Explanation

Area of a sector = | θ | x πr^{2} |

360 |

= ^{50}/_{360} x ^{22}/_{7} x ^{36}/_{1}

= ^{110}/_{7}