Question

Enter the area of a sector with a central angle of 4π3 radians and a radius of 12.5 cm.

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 5π7 radians and a diameter of 5.6 in.?

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

Enter your answer as a decimal in the box.

Answer 1

1) Area of a sector (A) with a central angle (€) of 4π3 radians and a radius (r) of 12.5 cm.
Use 3.14 for π
A = (€ radians/2π radians)•π r^2
A = (4π3 radians/2π radians)•π (12.5cm)^2
A = 2/3•π 156.25 cm^2
A = 0.6667•3.14•156.25 cm^2
A = 327.10 cm^2

2) Area of a sector (A) with a central angle (€) of 5π/7 radians and a diameter of 5.6 in.
Use 3.14 for π, radius (r) = d/2 = 5.6/2 = 2.8in.
A = (€ radians/2π radians)•π r^2
A = (5π7 radians/2π radians)•π (2.8in)^2
A = 5/14•π 7.84 in^2
A = 0.357•3.14•7.84 in^2
A = 8.79 in^2

Answer 2

The answer is 327.08 i am in k12

Explanation: