Question

if you have a circle with an area of approximately 45 square feet what is a good estimation for the radius of the circle?
step by step

Answer 1

there should only be 4 steps

Answer 2

1. The formula for the area of a circle is A = πr^2, where A is the area and r is the radius.
2. Therefore, to find the radius of the circle, we need to rearrange the formula to solve for r.
3. Given that the area is approximately 45 square feet, we can plug this value into the formula: 45 = πr^2.
4. To estimate the radius, we can use the approximate value of π, which is 3.14. So the equation becomes: 45 = 3.14r^2.
5. Divide both sides by 3.14 to isolate r^2: r^2 = 45 / 3.14.
6. Calculate the right side of the equation: r^2 ≈ 14.33.
7. To find the radius, take the square root of 14.33: r ≈ √14.33 ≈ 3.78 feet.
8. Therefore, a good estimation for the radius of the circle with an area of approximately 45 square feet is 3.78 feet.

Answer 3

1. The formula for the area of a circle is A = πr^2, where A is the area and r is the radius.
2. The area of the circle is given as approximately 45 square feet, so we can set up the equation 45 = πr^2.
3. Approximate the value of π to be 3.14 and solve for the radius: r^2 = 45 / 3.14 ≈ 14.33.
4. Take the square root of 14.33 to estimate the radius: r ≈ √14.33 ≈ 3.78 feet.

Therefore, a good estimation for the radius of the circle with an area of approximately 45 square feet is 3.78 feet.