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 ?
Short Answer
The solution is.
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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Get started for freeUse a calculator to find the approximate value of each expression rounded to two decimal places.
For a circle of radius r, a central angle of u degrees subtends an arc whose length s is . Discuss whether this is a true or false statement. Give reasons to defend your position.
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,
Approximating the Circumference of Earth Eratosthenes of Cyrene (276–195 bc) was a Greek scholar who lived and worked in Cyrene and Alexandria. One day while visiting in
Syene he noticed that the Sun’s 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?
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