Undeadgamer220
Undeadgamer220 Undeadgamer220
  • 19-06-2017
  • Mathematics
contestada

Find the area of the shaded portion in the equilateral triangle with sides 6.

Find the area of the shaded portion in the equilateral triangle with sides 6 class=

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budwilkins
budwilkins budwilkins
  • 19-06-2017
Triangle is equilateral with sides of 6.
Therefore all angles = 60°
Ht of 30-60-90 is 3sr3 = 5.196
Area of 30-60-90 = 1/2×b×h = 3×5.196
Area = 15.59
Pie slice from each corner = 60/360×pi×r^2, with r = 3
1/6×pi×9 = 4.71 × 3 pie slices = 14.13
So, shaded inner region = area triangle - 3 pie corners = 15.59-14.13
= 1.46
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