Directions: Read carefully! Do not assume diagrams are drawn to scale.
1.
A child pushes a playground merry-go-round so handle A moves to position B. The radius of the merry-go-round is 5 feet and the distance traveled by the handle along the arc from A to B is 4.5 feet. Find to the nearest degree, the measure of minor arc .
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2.
A horse on a lunge line travels in a circle around its trainer. The radius of the horse's circle is 24 feet. If the angle between location S and P on the circle is 140º (counterclockwise), find the length the horse travels from S to P in feet, to the nearest foot.
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3.
A sprinkler head is equidistant from flower garden A and a small shrub B. The sprinkler waters in a circular pattern. If the length of minor arc is 12 feet and the radius of the circle is 10 feet, find the measure of the central angle subtended by minor arc , to the nearest degree.
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4.
What is the radian measure of an angle containing 60º ?
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5.
What is the radian measure of the angle formed by the hands of a clock at 2:00 p.m.?
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6.
Convert 72º to radians.
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7.
A circular sprinkling system can be set to water only a sector of the circle. The radius of the sector is 20 feet and its central angle measures 1 radian. What is the length of the arc formed by this sector, in feet?
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8.
A central angle of 4π/15 radians intercepts an arc whose degree measure is _____.
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9.
Convert 2π/3 to degree measure.
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10.
A circular pizza is divided into eight equal slices. The outer edge of the crust from one piece measures 5.5 inches. What is the diameter of the pizza to the nearest inch?
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