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Chapter 6: Q. 84 (page 365)
In the problem, denotes the area of the sector of a circle of radiusformed by the central angle. Find the missing quantity. Round answers to three decimal places .
The required central angleis
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Convert each angle in degrees to radians. Express your answer as a multiple of .
Write the equation of a sine function that has the given characteristics.
Amplitude:
Period:
Use a calculator to find the approximate value of each expression rounded to two decimal places.
Designing a Little League Field For a 60-foot Little League Baseball field, the distance from home base to the nearest fence (or other obstruction) in fair territory should
be a minimum of 200 feet. The commissioner of parks and recreation is making plans for a new 60-foot field. Because of limited ground availability, he will use the minimum required distance to the outfield fence. To increase safety, however, he plans to include a 10-foot wide warning track on the inside of the fence. To further increase safety, the fence and warning track will extend both directions into foul territory. In total, the arc formed by the outfield fence (including the extensions into the foul territories) will be subtended by a central angle at home plate measuring 96掳, as illustrated.
(a) Determine the length of the outfield fence.
(b) Determine the area of the warning track.
Convert each angle in degrees to radians. Express your answer as a multiple of .
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