A farmer is wanting to clear of a circular plot of land for his horses. The farmer wants the horses to have 314 square yards of land. What radius should the farmer use to create this plot for his horses?

area=PI*r^2

r= sqrt(area/PI)

thx so much bob :)

To find the radius of the circular plot of land, we can use the formula for the area of a circle, which is given by:

Area = π * r²

where "r" represents the radius of the circle.

In this case, we know that the desired area for the horses is 314 square yards. Therefore, we can set up the equation as follows:

314 = π * r²

To solve for the radius, we need to isolate "r" on one side of the equation. We can divide both sides of the equation by π:

314 / π = r²

Now, we can take the square root of both sides to solve for "r":

√(314 / π) = r

Using a numerical approximation for π (approximately 3.14159), we can calculate the value of "r" using a calculator or a math software:

r ≈ √(314 / 3.14159)

r ≈ √100.006369

r ≈ 10.000318

Therefore, the farmer should use a radius of approximately 10.000318 yards to create the circular plot of land for his horses.