A sector is cut off from a circle of radius 21 cm. The angle of the sector is 40 degrees. Find the area of the sector in square cm?

Correct option is B

Given:

Radius of the circle, r = 21cm
Angle of the sector, $$\theta = 40^\circ$$​​

Formula Used:

The area of a sector is given by the formula:

Area of Sector =$$\frac{\theta}{360^\circ} \times \pi r^2$$​​

Solution:

1. Substituting the given values into the formula:
Area of Sector=$$\frac{40}{360} \times \pi \times 21^2$$​​

​$$= \frac{1}{9} \times \pi \times 441$$​​

​$$= \frac{1}{9} \times \frac{22}{7} \times 441$$​​

=$$\frac{1}{9} \times 1386 = 154 cm^2$$​​

Thus, the area of the sector is approximately 154 $$cm^2$$​.