Final answer:
To find the radius of a circle with an area of 0.2826 square miles, we use the formula r = √(A/π) and substitute A with 0.2826 and π with 3.14. The calculation gives a radius of approximately 0.30 miles.
Step-by-step explanation:
The area of a circle is given by the formula A = πr², where A is the area and r is the radius of the circle. Given that the area of the circle is 0.2826 square miles and using 3.14 for π, we can solve for the radius.
First, we rearrange the formula to solve for the radius: r = √(A/π). Plugging in the numbers we get:
r = √(0.2826/3.14)
r ≈ √(0.0900)
r ≈ 0.30 miles
The radius of the circle is approximately 0.30 miles.