06 Circular arcs inside and tangent to an equilateral triangle Jhun Vert Fri, 05/01/2020 - 11:21 pm

Example 06
The figure shown below is an equilateral triangle of sides 20 cm. Three arcs are drawn inside the triangle. Each arc has center at one vertex and tangent to the opposite side. Find the area of region enclosed by these arcs. The required area is shaded as shown in the figure below.
 

05 Three identical cirular arcs inside a circle Jhun Vert Fri, 05/01/2020 - 09:33 pm

Example 05
Circular arcs of radii 10 cm are described inside a circle of radius 10 cm. The centers of each arc are on the circle and so arranged so that they are equally distant from each other. Find the area enclosed by three arcs shown as shaded regions in the figure.
 

Overlapping arcs inside a circle