An arc subtends an angle of 50º 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
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
Area of a sector = \(\frac{\theta}{360}\) x \(\pi\)r\(^2\)
= \(\frac{50}{360} \times \frac{22}{7}\) x 36
= \(\frac{110}{7}\)
Source: Myschool Past Questions Archive (Record #9952)