#S_("circular sector 1")=(alpha/360^@)*S_(circ_ 1)=(alpha/360^@)*pi*r_1^2# Get your answers by asking now. What would the next figure look like in this series. Then with the chord AB (#=x#) as base and #h_1# or #h_2# as height we find the area of triangles ABC1 and ABC2.

What's is the purpose of a trailing '-' in a Kubernetes apply -f -. Now construct a graph data structure where the nodes are the blue dots and the red dots with white interior. So our angles from which we base our integral are, At this point I believe you can evaluate this regularly, $$.5\int_{\theta_1}^{\theta_2} 1^2-[cos\theta+\sqrt({a^2-sin^2\theta})]^2 \,d\theta$$, There may be some errors I missed in my answer however this general method should work. There is another circle with unknown radius. 6947 . Stack Exchange network consists of 176 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. outside all circles, mark the cell as empty, Approximate each circle by a regular polygon centered at the same point, Calculate the polygon which is the union of the approximated circles. First we find areas of each type of region: Let $r =$ radius of all $3$ circles. For a different solution from the previous one you could produce an estimation with an arbitrary precision using a quadtree.