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Mathematics 13 Online
OpenStudy (anonymous):

Find the area of the sector below. Round your answer to two decimal places.

OpenStudy (anonymous):

jimthompson5910 (jim_thompson5910):

the angle of the sector is 360 - 300 = 60 degrees

jimthompson5910 (jim_thompson5910):

now you use this formula A = (angle/360)*pi*r^2 and plug in the given info to get A = (60/360)*pi*13^2 A = ???

OpenStudy (anonymous):

Remember that the area of a (whole) circle is: \[A=\pi r^2\] We know the radius from the picture. So we simply need to figure out what fraction of the circle this sector is.

OpenStudy (anonymous):

a = 60 / 360 = 0.17 x 3.14 x 169 = 90.21 @jim_thompson5910

jimthompson5910 (jim_thompson5910):

I'm getting (60/360)*3.14*13^2 = 88.443333333333, so you're close, but also a bit off

jimthompson5910 (jim_thompson5910):

it's best not to go to decimal form if you can avoid it

OpenStudy (anonymous):

wait how did u get that :/ ???

jimthompson5910 (jim_thompson5910):

typing (60/360)*3.14*13^2 into the calculator exactly as you see it

jimthompson5910 (jim_thompson5910):

google acts like a calculator when you type that exact thing in https://www.google.com/search?hl=&q=%2860%2F360%29*3.14*13^2&sourceid=navclient-ff&rlz=1B3GGLL_enUS420US420&ie=UTF-8

OpenStudy (anonymous):

ohhhhh i c

OpenStudy (anonymous):

thats cool did not know that :D @jim_thompson5910

jimthompson5910 (jim_thompson5910):

yeah it's a neat feature

OpenStudy (anonymous):

nice so 88.44 would be my answer right

jimthompson5910 (jim_thompson5910):

correct

OpenStudy (anonymous):

nice thank u so much :D

jimthompson5910 (jim_thompson5910):

you're welcome

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