SOLUTION: A sector of a circle of radius 4 feet has central angle of 30 degree. A line connecting one of the end points of the arc to the midpoint of the opposite edge is then drawn. Determi

Algebra ->  Circles -> SOLUTION: A sector of a circle of radius 4 feet has central angle of 30 degree. A line connecting one of the end points of the arc to the midpoint of the opposite edge is then drawn. Determi      Log On


   

Question 1186471: A sector of a circle of radius 4 feet has central angle of 30 degree. A line connecting one of the end points of the arc to the midpoint of the opposite edge is then drawn. Determine the area between the lines, the arc and edge adjacent to the drawn line and arc.
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!

The area of the sector is sq.ft.

The area of the triangle defined by the radius and the half-radius is given by sq.ft.

Therefore the area of the desired region is A%5Bs%5D+-+A%5Bt%5D+=+%284%2Api%29%2F3+-+2 ≈ 2.18879 sq.ft, to 5 d.p.