Question

Chris found the area of the shaded sector to be 333.79. Determine if he is correct. If he is not, state what he did wrong and solve for the correct answer. Show your work and explain the steps you used to solve.

Answer 1

The area of a circular sector is given by:

`A=(\theta\pi r^2)/(360)`

Where:

θ = 170°

r = diameter/2 = 15/2 = 7.5 ft

π = 3.14

Substitute the values:

`A=((170)(3.14)(7.5)^2)/(360)=((170)(3.14)(56.25))/(360)=(30026.25)/(360)=83.41`

Therefore Chris is not correct.

Answer: Area = 83.41 ft^2