A barn is an agricultural building usually on farms and used for various purposes. In the North American area, a barn refers to structures that house livestock, including cattle and
horses, as well as equipment and fodder, and often grain.
1 Ramkaran want to build a barn at his farm. He has make a design for it which is above. Here
roof is arc of a circle of radius r at centre O.
On the basis of the above information, answer any four of the following questions:

What is the value of radius of arc?
() 4√3 () 4√2 () 2√3 () 2√2
2 What is the length of BF?
() 4(√3 + 1) () 4(√2 + 1) () 4(√3 − 1) () 4(√2 − 1)
3 What is the value of angle AOC?
(a) 30° (b) 90° (c) 45° (d) 60°
4 What is the curved width of roof?
() 2 √3 () 4 √2 () 2 √2 () 4 √3
5 What is area of cross section of barn?
() 8(6 + ) 2
() 4(6 + ) 2
() 8(3 + ) 2
() 4(3 + ) 2