Question

a horse is placed for grazing inside a rectangular field 60 cm by 40 cm and is tethered to one corner by a rope 28 m long on how much area can ir graze​

Answer 1

Answer:

616 sq m

Step-by-step explanation:

the units of length and breadth should be meters

area of rectangular field

= l × b

= 60 × 40

= 2400 sq m

area grazed by horse

the length of the rope become the radius

tethered at one corner of rectangle hence the angle made is 90°

we get a sector with angle made as 90° and radius as 28m

area of sector is

x°/360° × π × r × r

$= \frac{90}{360} \times \frac{22}{7} \times 28 \times 28 \\ = \frac{1}{4} \times \frac{22}{7} \times 28 \times 28 \\ = \frac{22}{7} \times 7 \times 28 \\ = 22 \times 28 \\ = 616 {m}^{2}$

hope you get your answer