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Let r be the radius of each sector = 21 cm

Area of the shaded region = Area of the four sectors

Let angles subtended at A, B, C and D be x°, y°, z° and w° respectively.

Angle subtended at A, B, C, D (in radians, (θ)) be respectively.

Area of a sector with central angle at A =

Area of a sector with central angle at B

Area of a sector with central angle at C

Area of a sector with central angle at D

Area of four sectors =

Since, sum of all interior angles in any quadrilateral is 360°

x + y + z +w = 360°

Thus, Area of four sectors =

= 441π cm2

= 1386 cm2

Hence, required area of the shaded region is 1386 cm2.

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