Question

a goat is treated with a rope of length 45 M at the centre of the circle of Grassland whose radius is 52 M find the area of the grassland that the goat cannot grace
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Answer 1

Step-by-step explanation:

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^2A=πr

2

A_g=3.14 (52)^2A

g

=3.14(52)

2

A_g=8490.56\ m^2A

g

=8490.56 m

2

The length of the rope is 45 meter.

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

2

A_r=3.14 (45)^2A

r

=3.14(45)

2

A_r=6358.5\ m^2A

r

=6358.5 m

2

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

A=A_g-A_rA=A

g

−A

r

A=8490.56-6358.5A=8490.56−6358.5

A=2132.06\ m^2A=2132.06 m

2

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

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Answer 2

smaller circle area is subtracted from greater circle area

8490.56m²-6358.5m²

=2132.06m²