Use Pythagereon (a^2+b^2=c^2) to get the height of triangle as 6.062. 1/2 (6.062)(7)=21.22 which is the area of the triangle.
Now all you need to do is find the area of the two arcs and add it to 21.22:
The angles are all 60 degrees, meaning the arc ABC (in other words just one of the pie slices) is 1/6 of a full circle. Find the area of the full circle which turns out to be pi*r^2 which is 49*pi. Take 1/6 of the area of the full circle (that's how big the pie piece is) and you get 25.66=area of pie slice.
You only need the lip so go ahead and subtract the area of of the triangle to get 4.44 (25.66-21.22). Then multiply that by two because you have two lips and you get 8.22.
Add the area of the two lips (8.22) to the area of the triangle (21.22) and you get 30.1. Use your calculator and don't round like I did to get more exact numbers.
Here's the needlessly overcomplicated way to calculate it:
It's clear that it's a trig problem, not calc. Though calc often makes much of all math done before it much easier it isn't particularly helpful for one either not familiar with calc or interested in the spatial representation (made clear by the picture). We can all see your guns, D1st0rt.
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