What is the area of a sector with a central angle of 2π9 radians and a diameter of 20. 6 mm? Use 3. 14 for πand round your answer to the nearest hundredth. Enter your answer as a decimal in the box. Mm².

Respuesta :

The area of a sector with a central angle of 2π/9 radians and a diameter of 20.6 mm is 37.01 mm²

It is given that

Central angle α= 2π/9

Diameter d= 20.6mm

So, radius r= 10.3mm

What is the formula for the area of the sector?

The area of a sector with central angle α and radius r is 0.5*r²*α

So, area of given sector = 0.5*10.3² * 2π/9

Area of given sector = 37.01 mm²

Therefore, the area of a sector with a central angle of 2π/9 radians and a diameter of 20.6 mm is 37.01 mm².

To get more about the sector of a circle visit:

https://brainly.com/question/25305793

Answer:

the answer is 37.01 took the test

Step-by-step explanation: