The problem is in this link:
http://imageshack.us/photo/my-images/26/capturetfb.jpg/
The goal is to find the shaded area. First i go about finding the height of both triangles (APQ and BQP). Then i find areas both sectors. Then i subtract the sector area from the triangle area of both circles, i add the result to get the shaded area alone. This however doesn't work all that well. Here's my calculation:
http://imageshack.us/photo/my-images/88/wolframalpha20110812155.gif/
The heights are found first by drawing an angle bisector from angle PAQ. Since it's an isosceles triangle, it divides PQ in half. Thus the height is 7^2+h^2=25^2. Same procedure for the other triangle.
What is wrong?
http://imageshack.us/photo/my-images/26/capturetfb.jpg/
The goal is to find the shaded area. First i go about finding the height of both triangles (APQ and BQP). Then i find areas both sectors. Then i subtract the sector area from the triangle area of both circles, i add the result to get the shaded area alone. This however doesn't work all that well. Here's my calculation:
http://imageshack.us/photo/my-images/88/wolframalpha20110812155.gif/
The heights are found first by drawing an angle bisector from angle PAQ. Since it's an isosceles triangle, it divides PQ in half. Thus the height is 7^2+h^2=25^2. Same procedure for the other triangle.
What is wrong?
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You have used the same value for the angle at B as the angle at A. Wrong !
sin(B/2) = 7 / (35/3) = 0.6
B/2 = 36.87°, therefore B = 73.74°
Use that instead of 32.5° for B. That should do it.
sin(B/2) = 7 / (35/3) = 0.6
B/2 = 36.87°, therefore B = 73.74°
Use that instead of 32.5° for B. That should do it.