Question

Four cows are tethered with ropes of equal lengths at 4 corners of a square field of side 35 metres so that
they just can reach one another. Find the area left ungrazed by the cows.


please solve this question please fast

Answer 1

Answer:

Area of the ungrazed region = 1174.76m²

Step-by-step explanation:

Given that :

➡ Four cows are tied with a rope of length 4m in corners of square field

➡ The square field measures a length of 35 metres.

To find :

➡ The area left ungrazed.

Solution :

Following the figure we can say that :

➩ Area left ungrazed :

= Area of the square field - Area grazed by the cows.

We will solve step by step :

1. Finding the area of the square field

We know that,

Area of the square = (side)² = (35)² = 1225m²

2. Observe the figure carefully. Here, if we join the four corners we will get a circle of radius 4metres

Therefore,

Area of the grazed portion = πr² = 3.14 × 16 = 50.24m²

Hence,

➡ Area of the ungrazed region = 1225 - 50.24 = 1174.76m²

Note :

• Observe the figure carefully.