Question

A sector with a radius of 6 cm has a central angle measure of 4pi/9 (in radians). What is the area of the sector?

Answer 1

Answer:

The area of the sector is 25.1327 cm²

Step-by-step explanation:

The area of a sector of circunference delimited by an angle in radians can be calculated by using the formula below:

area = (angle*r²)/2

area = [(4*pi/9)*(6)²]/2

area = [(4*pi/9)*36]/2

area = (144*pi/9)/2

area =  144*pi/18

area = 8*pi

area = 25.1327 cm²

The area of the sector is 25.1327 cm²