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

Sagar Kumar's picture
Submitted by Sagar Kumar on March 18, 2016 - 4:45am

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

  • Log in to post comments
  • 1040 reads
Sagar Kumar's picture

Submitted by Sagar Kumar on March 18, 2016 - 4:46am.

Please guys help me

Jhun Vert's picture

Submitted by Jhun Vert on March 18, 2016 - 8:46am.

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.