To estimate the radius of a circle with an area of approximately 45 square feet, we can use the formula for the area of a circle: A = πr^2, where A is the area and r is the radius.
First, find the approximate value of π. The most commonly used approximation for π is 3.14.
Then, rearrange the formula to solve for the radius:
r = √(A/π)
Plug in the given area of 45 square feet:
r ≈ √(45/3.14)
Calculating this, we get:
r ≈ √(14.3312)
r ≈ 3.79 feet
Therefore, a good estimation for the radius of the circle would be approximately 3.79 feet.
If you have a circle with an area of approximately 45 square feet, what is a good estimation for the radius of the circle? What would be the first step in solving for the radius?
3 answers
what would be the first step?
The first step in solving for the radius of a circle given its area is to plug the given area into the formula for the area of a circle. The formula for the area of a circle is A = πr^2, where A is the area and r is the radius.
In this case, we are given that the area is approximately 45 square feet. So, the first step would be to write the formula with the given area:
45 = πr^2
After setting up the formula with the known area, the next step would be to rearrange the formula to solve for the radius, as shown in the previous response.
In this case, we are given that the area is approximately 45 square feet. So, the first step would be to write the formula with the given area:
45 = πr^2
After setting up the formula with the known area, the next step would be to rearrange the formula to solve for the radius, as shown in the previous response.