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ella [17]
3 years ago
11

A certain windshield wiper is 10 inches long. The rubber blade is 6 inches long and attached at the outside end. If the wiper sw

eeps through a 150 degree angle how much area is covered by the blade? State the answer in terms of
Mathematics
1 answer:
Sloan [31]3 years ago
4 0
Area of sector=fraction of sector times area of circle
fraction of sector=degrees/360
and area of circle=pir^2

so
hold  a sec, we have the wiper on the outside, so we want to find the outside ring thing
do
area big sector-area small sector
or even better
(degrees/360) times (area big-areasmall)
big is 10
small is  4 (10-6=4)
areabig=10^2 times pi or 100pi
areasmall=4^2 times pi or 16pi
areabig-areasmall=100pi-16pi=84pi

then find the fraction

84pi times (150/360)=35pi square inches
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