Question

A horse is placed for grazing inside a rectangular field 40m by 36m and is tethered to one corner by a rope 14m long. Over how much area can it graze?.(Take π=22/7)

Answer 1

Area of field graze by horse is 154 m²

Step-by-step explanation:

• Here it is given that field is rectangle.

        Length of  rectangle = 40 m

        Breadth of  rectangle = 36 m

        Length of rope (R) = 14 m

• Shape of area graze by horse is one quarter circle which radius is 14 metre.

• We know that area of quarter circle is one fourth of area of circle.

        $\mathbf{\textrm{Area of quarter circle}=\frac{\textrm{Area of circle}}{4}}$

        $\mathbf{\textrm{Area of quarter circle}=\frac{\pi R^{2}}{4}}$

• On putting respective value of radius and pie

        $\mathbf{\textrm{Area of quarter circle}=\frac{22\times 14^{2}}{7\times 4}}$

        On solving

• Area of quarter circle = area of field graze by horse =154 m²