Radian and Degree Measure

Question

Find the area of the sector of a circle of radius 18m with a central angle of 11π/8. Round the solution to two decimal places.

Answer 1

Area = half radians time radius squared

= .5(11pi/8)(18^2) = (11pi/16)(18)(18)=(11pi/4)(9)(9)=891pi/9=about 699.7898 m^2

= about 699.79 m^2 rounded to 2 decimal places

= about 700 square meters

= about 7/10 of a hectare

= about 1.729 acres

where Arnold the Pig is free to run hog wild on Green Acres. see Sam Jackson's comment on Arnold the Pig in the movie Pulp Fiction

Answer 2

A = Area of sector = (1/2)r²θ, where r is the radius and θ is the radian measure of the central angle.

So, we have A = (1/2)(18)²(11π/8)

Simplify!