Question

A horse is tied by a 14 meter long rope in a ground. What is the area of the ground,
that the horse can graze, if he can move up to the full length of the rope?​

Answer 1

Answer:

Rope length=14m=circle radius

Area of circle=πr²=22/7×14×14=22×2×14=616m²

Step-by-step explanation:

Answer 2

The area of the ground the horse can graze is 154 cm2.

Step-by-step explanation:

Given:

Here a horse is tied by a 14 meter long rope in a ground. Also he can move up to the full length of the rope that means there becomes a quarter circle with radius, r = 14 m as shown in the figure below.

Let sector XAY be the field the horse can graze.

And also ∠ XAY = 90°

⇒ Area of sector XAY =  $\frac{\theta}{360}\times \pi r^2$

                                      = $\frac{90}{360}\times \frac{22}{7} \times (14)^2$

                                      = $\frac{1}{4}\times \frac{22}{7} \times 14\times 14$

                                      = $22\times 7$

                                      = $154 cm^2$

So, the area of the ground the horse can graze = area of sector XAY

                                                                                  = $154 cm^2$