Solving quadratic equations:
What is the radius of the largest circular quilt that can be made with an area less than or equal to 70 ft^2? Round your answer to the nearest tenth of a foot if necessary.
Please solve and explain. Thanks
A = pi * r^2
70 = 3.14 * r^2
70/3.14 = r^2
22.29 = r^2
4.72 =< r
Thank you for the answer.
To find the radius of the largest circular quilt that can be made with an area less than or equal to 70 ft^2, we can use the formula for the area of a circle:
A = πr^2
Where A is the area and r is the radius. We want to find the largest possible value for the radius, given that the area is less than or equal to 70 ft^2.
First, rearrange the formula to solve for r:
r^2 = A/π
r = √(A/π)
Now, substitute the given area of 70 ft^2 into the formula:
r = √(70/π)
To calculate the radius, we need the approximate value of π. Let's use 3.14 as an estimation.
r ≈ √(70/3.14)
Using a calculator, we find that r ≈ 4.721 ft.
Therefore, the radius of the largest circular quilt that can be made with an area less than or equal to 70 ft^2 is approximately 4.721 feet.