Mathematics: The triangle is an equilateral triangle One side is A The radius is A/2 What is the area of the center triangle?

6=n/-2 + 7N=-2If I’m interpreting the question right; it could be worded poorly....

The triangle is an equilateral triangle One side

brutalgitaffe

29.01.2022

$Orange\ area = A^2(\sqrt{3}/4 - \pi/8) = 0.0403A^2$

Step-by-step explanation:

First let's find the area of the triangle, using the formula:

$Area\_triangle = side^2\sqrt{3}/4$

$Area\_triangle = A^2\sqrt{3}/4$

Now, let's find the area of each circular sector of 60° (internal angle of a equilateral triangle):

$Area\_sector = \pi*radius^2*60/360$

$Area\_sector = \pi*(A/2)^2/6$

$Area\_sector = \pi*A^2/24$

Now, To calculate the orange area in the center, we have:

$Orange\ area = Area\_triangle - 3*Area\_sector$

$Orange\ area = A^2\sqrt{3}/4 - \pi*A^2/8$

$Orange\ area = A^2(\sqrt{3}/4 - \pi/8)$

$Orange\ area = 0.0403A^2$

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