Question

The figure below shows a circular prop with two triangles labeled ABC and AOC made on it. The center of the prop is labeled O.

http://assets.openstudy.com/updates/attachments/4fac68eee4b059b524f82924-ninskii-1336699125664-geometryimage.jpg

What is the area of the cloth required to make the circular prop?

28.29 ft2

32.48 ft2

14.14 ft2

46.58 ft2

Answer 1

radius = 3/sqrt 2 as angle at center is 90 degrees
so are of circle = pi * 9/2

Answer 2

angle at center = 2 * angle at circumference
= 2 * 45 = 90

Answer 3

area = pi * 9/2 = 14.14 sq ft