Question

a horse is tied to a pole fixed at one corner of a 30m×+30m square field of grass, by means of a 10m long rope. Find the area of that part of the field in which the horse can graze​

Answer 1

Answer -

Side of square = 30m

Length of the rope = Radius of the sector

Therefore,

Radius of the sector r = 10m

Measure of arc = 90 degrees [Angle of a square]

Area of field that can be grazed = Area of sector

                                                      = 90 / 360 X Pi r^2

                                                      = 90 / 360 X 3.14 X 10 X 10

                                                      = 1 / 4 X 314

                                                      = 78.5 m^2