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  • In Figure, arcs have been drawn of radius 21 cm each with vertices A, B, C and D of quadrilateral ABCD as centres. Find the area of the shaded region.

In Figure, arcs have been drawn of radius 21 cm each with vertices A, B, C and D of quadrilateral ABCD as centres. Find the area of the shaded region.

Answers (1)

[1386cm2]

Solution

Area of sector =\frac{\pi r^{2}\theta}{360^{\circ}}

Here    \theta=90^{\circ}

Radius = 21 cm

There are four sectors in the figure

Area of sector =\frac{\pi \times (21)^{2} \times 90}{360}

                        =\frac{\frac{22}{7} \times 441}{4}=346.5 cm^{2}

Area of shaded region = 4 × Area of one sector

                                     = 4 × 346.5

                                     = 1386 cm2

Posted by

infoexpert24

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