what is the the diameter of a circle in km if the area is 5.65 miles? i don't know how to convert miles into km so please help.
http://www.metric-conversions.org/length/miles-to-kilometers.htm
10000=1km
10000 centimeters=1km
To find the diameter of a circle, we need to know the radius or the area of the circle. Since you have provided the area, we can use it to find the radius first. To convert miles to kilometers, you can use the conversion factor 1 mile = 1.60934 kilometers.
Let's begin by converting the area from miles to square kilometers. The conversion factor for area is squared, so we need to square the conversion factor as well.
Area in square kilometers = Area in square miles × (Conversion factor)^2
Area in square kilometers = 5.65 miles × (1.60934 kilometers/mile)^2
Calculating this, we get:
Area in square kilometers = 5.65 miles × 2.58999 kilometers^2/mile
Now, we can calculate the radius of the circle using the formula for the area of a circle:
Area = π × radius^2
We can rearrange the formula to solve for the radius:
radius = √(Area / π)
Now, let's substitute the values:
radius = √(5.65 miles × 2.58999 kilometers^2/mile / π)
Calculating this expression, we get:
radius ≈ √(0.02302041472225396348995183769076 kilometers^2)
radius ≈ 0.15167403440801391 kilometers
Finally, to find the diameter, we multiply the radius by 2:
diameter ≈ 2 × 0.15167403440801391 kilometers
diameter ≈ 0.30334806881602782 kilometers
Therefore, the diameter of the circle is approximately 0.303 km.