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

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

Answers (1)

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

Here \angle p, \angle Q, \angle R=60^{\circ}

The radius of each circle = 14 cm

There are three sectors

Area of each sector = \frac{\pi \times (14)^{2} \times 60}{360}\\

                               \\=\frac{\frac{22}{7} \times 196}{6}\\ =\frac{616}{6}cm^{2}

Area of shaded region = 3 x (Area of one sector)  

                                    \\=3 \times \frac{616}{6}\\ =308cm^{2}                                            

Posted by

infoexpert24

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