This partial circle has a radius of 11 inches. What is the area of this figure?

Use 3.14 Pi.

A circle with a quadrant missing. The length of one side of the quadrant is 11 inches.

Answer is in the file below

https://cutt.ly/kzjInUL

geometry: triangles

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call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584

irrational, cannot