DallasLifeBaby01
  • DallasLifeBaby01
A triangular flowerbed is being planted inside a circular area of grass. What is the area of the grass (the area surrounding the flowerbed)? (Use 3.14 for π.) 1) 1,965.74 ft 2 2) 8,996.96 ft 2 3) 3,315.74 ft 2 4) 9,212.96 ft 2 drawing will be in comments ( I'm helping grade a kids work)
Mathematics
katieb
  • katieb
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DallasLifeBaby01
  • DallasLifeBaby01
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DanJS
  • DanJS
does heron's formula sound familiar?
DallasLifeBaby01
  • DallasLifeBaby01
yes, I'm not trying to solve this problem tho, the kid who's pear this is chose answer 3 and iwas wondering if it was correct and if not what is the correct answer

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DanJS
  • DanJS
https://en.wikipedia.org/wiki/Heron%27s_formula First find half the perimeter of the triangle, s = (1/2)*(50+27+58) = 67.5 Area Triangle \[A=\sqrt{s*(s-a)(s-b)(s-c)} = \sqrt{67.5*(67.5-27)(67.5-58)(67.5-50)} \approx 674.16\]
DanJS
  • DanJS
Area triangle is about 674.16
DanJS
  • DanJS
Area Circle is Pi*R^2
DanJS
  • DanJS
Area Grass = Area Circle - Area Triangle
DanJS
  • DanJS
what is the circle radius?
DanJS
  • DanJS
Is there a line that ends on the circle on both sides... i can't tell from that drawing
DallasLifeBaby01
  • DallasLifeBaby01
it doesn't give any thing for the circle just the triangle

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