A cow is tied to a pole in the middle of a grassland with a rope 35m long . Find the area over which the cow can graze
You have the radius. You want the area of the circle.
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Student
To find the area over which the cow can graze, we need to calculate the area of the circular region around the pole with a radius equal to the length of the rope.
The formula for the area of a circle is given by A = πr^2, where A is the area and r is the radius.
In this case, the radius is 35m (the length of the rope). Now we can calculate the area using the formula:
A = π * (35m)^2
First, we square the radius:
A = π * 1225m^2
Finally, we multiply 1225m^2 by π to get the area:
A ≈ 3826.44m^2
Therefore, the cow can graze over an area of approximately 3826.44 square meters.
To find the area over which the cow can graze, we need to determine the shape of the grazing area. In this case, the rope tied to the pole represents the radius of a circular grazing area.
The formula for the area of a circle is given by A = πr^2, where A represents the area and r represents the radius.
In this scenario, the radius is given as 35m. So, we can substitute this value in the formula and calculate the grazing area.
A = π * (35m)^2
= π * 1225m^2
≈ 3848.451m^2
Therefore, the area over which the cow can graze is approximately 3848.451 square meters.