In figure, arcs have been drawn with radii 14 cm each and with centers P, Q and R. Find the area of the shaded region.

Let r be the radius of each sector = 14 cm

Area of the shaded region = Area of the three sectors

Let angles subtended at P, Q, R be x°, y°, z° respectively.

Angle subtended at P, Q, R (in radians, (θ)) be respectively.

∴ Area of a sector with central angle at P

∴ Area of a sector with central angle at Q

∴ Area of a sector with central angle at R =

∴ Area of three sectors =

Since, sum of all interior angles in any triangle is 180°

∴ x + y + z = 180°

Thus, Area of three sectors = = 308 cm²

Hence, the required area of the shaded region is 308 cm².