A large Ferris wheel has a diameter of 120 feet. If the rider gets on at the low

Question

A large Ferris wheel has a diameter of 120 feet. If the rider gets on at the lowest point, what distance along the circular wheel will the rider travel when it rotates through an angle of 140 degree ? Round to the nearest tenth of a foot. A sector of a circle with radius 4 inches is rolled to form a cone. If the arc length around the top of the cone is 8.5 inches, what is the surface area of the outside of the cone? Round to the nearest tenth. A farmer is planning to use a center-pivot irrigation system with a 660- foot irrigation arm that rotates, forming a circle or a sector of a circle. The farmer wants to irrigate 20 acres. Through how many degrees should the irrigation system rotate? Round to the nearest tenth of a degee.

Explanation / Answer

1) dia = 120 ft

radius = 60 ft

distance along circular path when it rotates 140 deg = (pi/180)*140 = 2.44 rad

Arc legth = (theta/2pi)*2pi*radius = (2.44/2pi)(2pi* 60)

= 146.61 = 146.6 ft

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