kenialove
  • kenialove
What is the area of the figure below ? Use 3.14 for pi. Round to the nearest tenth. Figure is a rectangle with a semicircle (length of 3m and width of 8m) A. 24.0 m^3 B. 27.5 m^3 C. 31.1 m^3 D. 38.1 m^3
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
Where is the figure?
kenialove
  • kenialove
I'm on an iPad so I couldn't make it or something , but the figure is a rectangle with a semicircle With a length of 3m and a width of 8m @joyraheb
jim_thompson5910
  • jim_thompson5910
like this @kenialove ? |dw:1441151363661:dw|

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kenialove
  • kenialove
Yes but to the side and the rectangle part is a little bit longer than that @jim_thompson5910
jim_thompson5910
  • jim_thompson5910
I see. Where do the numbers go?
kenialove
  • kenialove
The length of the side of the rectangle is 3m , and the width of the bottom of the rectangle is 8m
kenialove
  • kenialove
@jim_thompson5910
jim_thompson5910
  • jim_thompson5910
so this? |dw:1441152032975:dw|
kenialove
  • kenialove
Yes
jim_thompson5910
  • jim_thompson5910
what is the area of just the rectangle?
kenialove
  • kenialove
Would it be 24 ?
jim_thompson5910
  • jim_thompson5910
yes
jim_thompson5910
  • jim_thompson5910
how about the semi-circle?
kenialove
  • kenialove
I'm not sure but.. would the radius of it be 1.5 because half of 3 is 1.5 ?
jim_thompson5910
  • jim_thompson5910
|dw:1441152263622:dw| agreed?
kenialove
  • kenialove
Wait the numbers are on the wrong sides .. It's actually the other way around
jim_thompson5910
  • jim_thompson5910
oh, like this? |dw:1441152365374:dw|
kenialove
  • kenialove
Yes
jim_thompson5910
  • jim_thompson5910
ok, so yeah, the radius is 1.5
jim_thompson5910
  • jim_thompson5910
what is the area of a circle with radius 1.5 ?
jim_thompson5910
  • jim_thompson5910
`Use 3.14 for pi`
kenialove
  • kenialove
I got 7.065 is that right ? I did : A = pi r^2 A = 3.14 x 2.25 A = 7.065
jim_thompson5910
  • jim_thompson5910
good
jim_thompson5910
  • jim_thompson5910
now cut that in half because we only have half of the circle
kenialove
  • kenialove
7.065 / 2 = 3.5325
jim_thompson5910
  • jim_thompson5910
area of rectangle = 24 area of semi-circle = 3.5325 add them up to get the area of the entire figure
kenialove
  • kenialove
Is that right ?
jim_thompson5910
  • jim_thompson5910
yeah you have the correct semi-circle area. Now add up the two areas to get your answer
jim_thompson5910
  • jim_thompson5910
area of rectangle = 24 area of semi-circle = 3.5325 add them up to get the area of the entire figure
kenialove
  • kenialove
27.5325
jim_thompson5910
  • jim_thompson5910
then round that to the nearest tenth
kenialove
  • kenialove
So the answer would be B. 27.5 right
jim_thompson5910
  • jim_thompson5910
yep
kenialove
  • kenialove
Thanks so much !
jim_thompson5910
  • jim_thompson5910
you're welcome

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