Question

4. A horse is tied to a pole fixed at one corner of a 30 m * 30 m square field of grass by means of a 10 m
long rope. [Take = 3.14]
(i) Find the area of that part of the field in which the horse can graze.
(i) Find the increase in the grazing area if the rope is 20 m long instead of being 10 m long.
(iii) Find the area of that part of the field in which the horse can graze if the pole is fixed on a side,
somewhere near the middle. The length of the rope is 10m
​

Answer 1

Answer:

78m²

Step-by-step explanation:

Side of a square =30 m

Length of the rope = Radius of the sector

∴ Radius of the sector r=10 m

Measure of arc θ=90° [Angle of a square]

Area of field that can be grazed = Area of sector

= θ/360×πr²

= 90/360×3.14×10×10

= 1/4 ×314

=78.5 m²