Question

A goat is tethered with a rope of length 45 metre at the centre of the circular grass land whose radius is 52 metre. Find the area of the grass land that the goat cannot graze​

Answer 1

Answer:

Calculate the area of both circles and subtract them. The radius of both circle not being divisible by 7 may result into the answer with decimals....So, I'd prefer to take π=3.14

area of circle = πr²

Answer 2

Answer:

The area of the grass land that the goat cannot graze​ is 2132.06 square meter.      

Step-by-step explanation:

Given : A goat is tethered with a rope of length 45 meter at the center of the circular grass land whose radius is 52 meter.

To Find : The area of the grass land that the goat cannot graze​ ?

Solution :

The radius of the circular grass is 52 meter.

The area of the circular grass is $A=\pi r^2$

$A_g=3.14 (52)^2$

$A_g=8490.56\ m^2$

The length of the rope is 45 meter.

The area of the circular rope is $A=\pi r^2$

$A_r=3.14 (45)^2$

$A_r=6358.5\ m^2$

The area of the grass land that the goat cannot graze​ is given by,

$A=A_g-A_r$

$A=8490.56-6358.5$

$A=2132.06\ m^2$

The area of the grass land that the goat cannot graze​ is 2132.06 square meter.