# Area of a Circle by Lines

Have a look at this:

You get a triangle! And it's area is:

Area = base × height / 2

Area = 2πr × r / 2

Area = πr^{2}

## Conclusion

Area of Circle = πr^{2}

Also notice:

Circumference of 2πr | → | Area of πr^{2} |

## Things to Try

Try a low value for "sides":

- you can see that the lengths don't change as they unfold into straight line segments
- also notice they are actually polygons, which head towards being circles as the number of sides increase

Also try increasing the value of "lines" to convince yourself that the lines are heading towards filling the whole area.