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Chapter 6: Q. 1 (page 364)
What is the formula for the circumference of a circle of radius ? What is the formula for the area of a circle of radius ?
The solution is.
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Convert each angle in degrees to radians. Express your answer as a multiple of .
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.
What is 1 radian? What is 1 degree?
Find the exact values of the six trigonometric functions of the given angle. If any are not defined, say "not defined." Do not use a calculator.
Use a calculator to find the approximate value of each expression rounded to two decimal places.
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