the surface of the top layer of a circular sand pit is about 160 square feet. estimate the radius of the sand pit, to the nearest foot
A = pi * r^2
160 = 3.14 * r^2
50.956 = r^2
7 = r
To estimate the radius of the sand pit, we need to use the formula to calculate the area of a circle, which is A = πr², where A is the area and r is the radius.
In this case, we know that the surface area of the top layer of the sand pit is 160 square feet. So, we can set up the equation as follows:
160 = πr²
To solve for the radius, we need to isolate it. Divide both sides of the equation by π:
160/π = r²
To estimate the radius, we can approximate the value of π as 3.14. Plugging in this value, we get:
160/3.14 ≈ r²
50.955 ≈ r²
To solve for r, we take the square root of both sides:
√(50.955) ≈ r
The estimated value of the radius is approximately 7.14 feet when rounded to the nearest foot.