A certain windshield wiper clears a portion of a sector as shown. If the angle that the wiper pivots during each swing is 120°, find the area of the windshield that is cleaned during each swing.

At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get our expert's

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this and thousands of other questions.

A community for students.

A certain windshield wiper clears a portion of a sector as shown. If the angle that the wiper pivots during each swing is 120°, find the area of the windshield that is cleaned during each swing.

Mathematics
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this and thousands of other questions

have you done radians?
@Z4K4R1Y4 nope I have no idea what that is

Not the answer you are looking for?

Search for more explanations.

Ask your own question

Other answers:

|dw:1433038449394:dw| does this make sense?
yes a little thank you @Z4K4R1Y4
so what would be the area of the full circle i've drawn?
\[area= \pi*r ^{2}\]
1256.63? @Z4K4R1Y4
yes
now we want to find the sector with angle 120
45238.9342? @Z4K4R1Y4
not quite.
full circle = 360 degrees
if we divide 360 by 120 we get three
so that means 120 is 1/3 of 360. right?
Right. :) @Z4K4R1Y4
so if the area of full circle (angle 360) is 1256.63 then the area of the sector of angle 120 would be 1/3 of 1256.63. right?
It would be 418.876667? @Z4K4R1Y4
Right!!
now for the next part...
|dw:1433039404347:dw|
\[area of full circle = \pi * r ^{2}\] ... but this time r =5
78.5398163? @Z4K4R1Y4
yes!
now for the area of the sector of angle 120.
area of full circle (360 degrees) = 78.53... so area of sector of angle 120 would be 1/3 of 78.53...
yh we're caculating the white part of raius 5
*radius
alright, just making sure, I saw your diagram had the arrow pointing to the black part as the part not cleared by the wiper
the second diagram is only showing the white part
@alexwaldorf do you under stand the calculation?
@Vocaloid thanks
yeah, sorry about interrupting, my mistake D:
yes a little lol @Z4K4R1Y4
it's okay thanks :) @Vocaloid
so what would be the area of the sector in the second part? @alexwaldorf
19374.08? @Z4K4R1Y4
not quite. area of full circle = 78.53982.. area of sector of angle 120 would be 1/3 of that.
oh so is it 23.17994? @Z4K4R1Y4
yes!... do you understand why it's 1/3 of full area?
26*
yes I do :) @Z4K4R1Y4
good. finally we have...
|dw:1433040636347:dw|
area of sector of radius 20 (15+5) = 418.87.. and area of sector of radius 5 (white part) = 23.17...
does that make sense?
yes it does
so is 23.17 the answer?
not quite. the area we need to find is the black part.
|dw:1433041243267:dw|
395.695? @Z4K4R1Y4
that is correct but if you put all the decimals in from both calculations you will get 392.6990817.
so is that the final answer lol @Z4K4R1Y4
yes
so we're done that's it?? @Z4K4R1Y4
yes
oh my goodness thank you so much you're the best @Z4K4R1Y4 I really really appreciate it
no problem. you're welcome
I've got to go now...bye
have a great night, thanks a bunches!! @Z4K4R1Y4

Not the answer you are looking for?

Search for more explanations.

Ask your own question