2. On a certain vehicle, one windshield wiper is 60 cm long, and is afixed to a swing arm which is 72 cm long from pivot point to wiper-blade tip. If the swing arm turns through 105", what area of the windshield, to the nearest square centimeter, is swept by the wiper blade?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.2: Trigonometric Equations
Problem 99E
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1. An adjustable-angle pop-up lawn sprinkler has been installed in an awkward corner of the neighbor's
yard. This sprinkler, assuming full water pressure, can spray everything within 4 meters. Given
that an angle has been set to 70°, determine the area of the lawn that will be covered by the lawn
sprinkler. (Usen 3.14 and round up your answers up to two decimal places only).
2. On a certain vehicle, one windshield wiper is 60 cm long, and is afixed to a swing arm which is
72 cm long from pivot point to wiper-blade tip. If the swing arm turns through 105", what area of
the windshield, to the nearest square centimeter, is swept by the wiper blade?
adW n8 lo so6
3. Mom baked an egg pie in a 9-inch pie pan. She cut the pie into 6 equal parts so that everyone gets
the same sized pie.
a) Determine the central angle created by two slices of pie.
b) Determine the area covered by each piece of pie to the nearest tenth of a square inch.
c) Determine the circumference of the original pie to the nearest tenth of an inch.
d) If a piece of pie had an arc length of T, determine the area of the piece of pie to the nearest
tenth of a square inch. What would be the central angle of this piece of pie?
Transcribed Image Text:1. An adjustable-angle pop-up lawn sprinkler has been installed in an awkward corner of the neighbor's yard. This sprinkler, assuming full water pressure, can spray everything within 4 meters. Given that an angle has been set to 70°, determine the area of the lawn that will be covered by the lawn sprinkler. (Usen 3.14 and round up your answers up to two decimal places only). 2. On a certain vehicle, one windshield wiper is 60 cm long, and is afixed to a swing arm which is 72 cm long from pivot point to wiper-blade tip. If the swing arm turns through 105", what area of the windshield, to the nearest square centimeter, is swept by the wiper blade? adW n8 lo so6 3. Mom baked an egg pie in a 9-inch pie pan. She cut the pie into 6 equal parts so that everyone gets the same sized pie. a) Determine the central angle created by two slices of pie. b) Determine the area covered by each piece of pie to the nearest tenth of a square inch. c) Determine the circumference of the original pie to the nearest tenth of an inch. d) If a piece of pie had an arc length of T, determine the area of the piece of pie to the nearest tenth of a square inch. What would be the central angle of this piece of pie?
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