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?
1 answer:
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
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