Question
Find the exact area of the shaded region given in the picture:4FRx-x
Find the exact area of the shaded region given in the picture: 4FRx-x
Calculus 1 / AB
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Find the area of the shaded region.
Were you given the following shapes and were asked, defying the area of the shaded region. So that's the green part. So start off which we confined our central angles in our central angle does he go to 360 degrees over a number of side, which is three. So that will get us more 120 degrees. So we know that this section over here is 120 degrees. Now we obviously want to make a right triangle, so we know that 120 degrees of I by to gets us 60 degrees and so we can actually recognise this creates of 36 90 triangle. So based off of this, we know this side is half of our her partner. So we have four over here. Over here we have for moved. That's sweet. So we can find the area of our entire trying. Also in the area of our triangle is equal to three because there's three trying with going forward homes 1/2 times a base, which is eight foot three times the height, which is four. So forward three time to see what state history. That's where we got eight withdrew from. As for which is a height, times has in time sweets that will get us 41.57 We're sorry. Um see should be a true three times for terms. Three. It should get us a 83.14 the next we need to find the area of our circle. But his pi times R squared So aliases eight squared, which would get US 64 pi, which would get US 201.6 It's not always attract this from the 3.14 No total area first shaded region is equal to 201.6 months, a 3.14 which gets US 117.92 units squared as our answer.
We have problem number 83 in which we need to find the area of the city region. The area of the senate reason will be area of the sector and minus area of the triangle O A B we haven't provided with various He called 500 and girl, you be called to 40 degree. So area of the city region will be area of the sector area of the sector, minus area off the triangle. Oh, a B or you'll be Yeah. Okay, So area of the secretary always by our square Tita over 360 degree minus area of sex Triangle Yobe half in two away and to will be sign angle a O. B. So by is 22 by seven into five square 40 degree by 360 minus one by 2 to 5 and 25 Signed 40 degree. Oh, this is nine times 550 by 63 minus 25 by to sign 40 degree 500 50 d went by 63 minus 12.5 and 2014. That is 0.6953 So area of the shaded reason will approximately be zero point 6953 Squire unit Thank you so much.
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