the cow grazes grass in a sector of a circle.
The area of a sector of radius r and angle θ is
a = 1/2 r^2 θ
where θ is in radians, not degrees.
So, here we have
a = 1/2 (15^2) (24/180 * pi) = 15 pi
A cow is attached to a rope in a pasture bordered by two fences ( each 60 feet long) which meet at an angle of 24 degree. If the rope attached to the cow is 15 feet long, over how many square feet can the cow graze?
a. 2 pi
b. 15 pi
c. 30 pi
d. 45 pi
e. 240 pi
please answer and explain
1 answer
1 answer