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

(assuming the central point of each arc is its corresponding vertex)
BTW; Answer should be in this form:
A= X*square rootX - X/X*pi

Question

Find the area of the shaded portion in the equilateral triangle with sides 6.

(assuming the central point of each arc is its corresponding vertex)
BTW; Answer should be in this form:
A= X*square rootX - X/X*pi

anonymous · Answer

attachment

rajee_sam · Answer

Equilateral Triangle. So angles are all 60°. So you can find the area of the 3 sectors. You can also find the area of the whole triangle - first you need to find the height using Pythagorean theorem. Then find area of triangle and subtract the area of 3 sectors from that.

rajee_sam · Answer

I don't understand the last part about the form in which you need to express it.

rajee_sam · Answer

I got$$\frac{ 30 - 9\pi }{ 2 }$$

jdoe0001 · Answer

http://www.mathwords.com/a/a_assets/a77.gif <-- sector of a circle area http://www.calculateme.com/cArea/area-equilateral-triangle.gif <-- equilateral triangle area as rajee_sam already said, the angles for an equilateral triangle will ALL be $\large 60^o \ or \ \frac{\pi}{3}$, get the Areal from the Triangle, and from it SUBSTRACT the 3 circle sectors :)