The area of a circular trampoline is 112.07 square feet. What is the radius
of the trampoline? Round to the nearest hundredth
A = pi * r^2
112.07 = 3.14 * r^2
112.07/3.14 = r^2
35.691082 = r^2
5.974 = r
5.97 = r
To find the radius of a circular trampoline, we can use the formula for the area of a circle:
Area = π * r^2
Given that the area of the trampoline is 112.07 square feet, we can write the equation as:
112.07 = π * r^2
To find the radius, we need to isolate r^2. Divide both sides of the equation by π:
112.07 / π = r^2
Using a calculator, we can evaluate the left side to get:
35.68 ≈ r^2
Next, take the square root of both sides to solve for r:
√(35.68) ≈ √(r^2)
r ≈ √(35.68)
Using a calculator again, we find:
r ≈ 5.97
Therefore, the radius of the trampoline is approximately 5.97 feet when rounded to two decimal places.
To find the radius of the trampoline, you can use the formula for the area of a circle, which is A = πr².
Given that the area of the trampoline is 112.07 square feet, we can set up the equation as follows:
112.07 = πr²
To solve for the radius, we need to rearrange the equation to isolate the variable r. Divide both sides of the equation by π:
112.07 / π = r²
Now, take the square root of both sides to find the value of r:
√(112.07 / π) ≈ r
Using a calculator, we can evaluate this expression to find the approximate value of r. Rounding to the nearest hundredth, the radius of the trampoline is:
r ≈ 5.34 feet