Question

A circle has a diameter of 10 centimeters. of a sector with a central angle of 50 degrees is cut out, what is the area of this sector?
A. 43,63 square centimeters
B. 3.14 square centimeters
C. 5.46 square centimeters
D. 10.91 square centimeters

Answer 1

Answer:

D. 10.91 square centimeters

Step-by-step explanation:

Area of a sector of a circle = $\frac{\theta}{360}$ $\pi$$r^{2}$

where $\theta = 50^{o} C$

radius (r) = half of diameter = 10/2 = 5 cm

Area  = $\frac{50}{360} * \frac{22}{7} * 5^{2}$

= 10.91 $cm^{2}$