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Chapter 6: Q.71 (page 365)
In the problem,denotes the length of the arc of a circle of radius subtended by the central angle . Find the missing quantity. Round answers to three decimal places.
meters, radian,
The required lengthof the arc isrole="math" localid="1646323452507" .
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Find the exact value of each expression. Do not use a calculator.
Approximating the Circumference of Earth Eratosthenes of Cyrene (276鈥�195 bc) was a Greek scholar who lived and worked in Cyrene and Alexandria. One day while visiting in
Syene he noticed that the Sun鈥檚 rays shone directly down a well. On this date 1 year later, in Alexandria, which is 500 miles due north of Syene he measured the angle of the Sun to be about 6.2 degrees. See the figure. Use this information to approximate the radius and circumference of Earth.
Find the exact value of each expression. Do not use a calculator.
Convert each angle in degrees to radians. Express your answer as a multiple of .
Use the graph of the function to determine the domain and the range of function
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