Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • 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)

  [ 308 cm2]

Solution

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

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

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

View full answer

Similar Questions

Latest Question