What is the area of a sector with a central angle of 2π/9 radians and a radius of 16.7 ft?

Use 3.14 for π and round your final answer to the nearest hundredth.

Enter your answer as a decimal in the box.

Question

Mathematics

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15 March, 19:07

What is the area of a sector with a central angle of 2π/9 radians and a radius of 16.7 ft?

Use 3.14 for π and round your final answer to the nearest hundredth.

Enter your answer as a decimal in the box.

+4

Answers (1)

Know the Answer?

Micah Richard · Answer 1

Central Angle = 2*PI / 9 radians = 40 degrees

Sector Area = (Central Angle / 360) * PI * radius^2

Sector Area = (40 / 360) * PI * 16.7^2

Sector Area = (1/9) * PI * 278.89

Sector Area = 97.35 square feet

What is the area of a sector with a central angle of 2π/9 radians and a radius of 16.7 ft?Use 3.14 for π and round your final answer to the nearest hundredth.Enter your answer as a decimal in the box.

What is the area of a sector with a central angle of 2π/9 radians and a radius of 16.7 ft?

Use 3.14 for π and round your final answer to the nearest hundredth.

Enter your answer as a decimal in the box.