I need help. Area inside a circle but outside the two opposite quarter circles

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Sagar Kumar
Sagar Kumar's picture
I need help. Area inside a circle but outside the two opposite quarter circles

Hi! Please find the area of the shaded region given in the figure.
12791037_1682773475327815_9199035459940223503_n.jpg

Sagar Kumar
Sagar Kumar's picture

Please guys help me

Jhun Vert
Jhun Vert's picture

Solve for angle alpha and angle theta by Cosine Law. With angle alpha known you can find angle beta.
 

plane_004-difference-circular-sectors.gif

 

The shaded area is equal to a circular sector of radius 7 cm with central angle beta minus circular segment with of radius 14 cm with central angle 2-theta minus isosceles triangle of equal sides 7 cm with included angle beta.

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