\input zb-basic
\input zb-matheduc
\iteman{ZMATH 2016e.00657}
\itemau{Murty, Gurajada Suryanarayana}
\itemti{A note on theorem of unequal pair of lunes.}
\itemso{J. Indian Acad. Math. 37, No. 1, 13-18 (2015).}
\itemab
The paper proves the following result: Consider a circle and a right triangle $ABC$ such that $AB$ is a diameter of the circle. Draw semicircles with diameters $AC$ and $BC$. Each of this semicircles, together with the original circle determines a lune. The sum of the areas of these lunes equals the area of the triangle $ABC$. The result is elementary and not very surprising, Nevertheless it can be a nice excercise for secondary school students and it is suitable to be worked out with GeoGebra.
\itemrv{Antonio M. Oller (Zaragoza)}
\itemcc{G40 G30}
\itemut{area; lune; mathematical modeling}
\itemli{}
\end