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# Finding the Lengths and Angles of Arcs

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Question#1
Two streets meet at an angle of 83.0 degrees. What is the length of the piece of curved curbing at the intersection if it is constructed along the arc of a circle 15.0 ft in radius?

Question #2
Through what angle does the drum turn in order to lower the crate 18.5 feet. The drum has a circumference of 2.38 feet

https://brainmass.com/math/geometric-shapes/finding-the-lengths-angles-arcs-163394

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Question#1
Two streets meet at an angle of 83.0 degrees. What is the length of the ...

#### Solution Summary

The angles and lengths of arcs are found. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

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## Calculate the angular speed of the engine in radians per second

1.) The engine of a sports car rotates at 5,000 revolutions per minute (rpm). Calculate the angular speed of the engine in radians per second. Use 2&#61552; radians = 1 revolution.
2.) Convert -60° to radians. Express the answer as a multiple of &#960;
3.) Draw the following angle in standard the position:
4.) In which quadrant will the angle 100° lie in the standard position?
5.) In which quadrant will the angle -350° lie in the standard position?
6.) Convert the following angle to degrees:
7.) Find a co-terminal angle for the following angle:
-268°
8.) Find the value of (sin 38°) (csc 38°)
9.) Use an identity to find the value of:
sin²50° + cos² 50°
10.) Find the radian measure of the central angle of a circle of radius r = 4 inches that intercepts an arc of length s = 20 inches.
11.) Classify the angle 101° as acute, right, obtuse, or straight.
12.) Find the length of the arc on a circle of radius r = 5 yards intercepted by a central angle &#1139; = 70°
13.) Classify the angle as acute, right, obtuse, or straight.
14.) Classify the angle as acute, right, obtuse, or straight.