Right Triangle Area of a Circle (by Peeling)

[b][color=#c51414]AREA of a CIRCLE:[/color][/b][br][br]Hit the [b]"Start the Show!"[/b] button in the applet below![br]Then, answer the [color=#6aa84f]5 [/color][color=#0a971e]questions that follow[/color]. [br]

Question #1

How does the area of the triangle formed compare with the area of the original circle?

Question #2

What is the formula for the area of a triangle?

A=bh A=lwh [math]A=\frac{bh}{2}[/math] A=lw

Question #3

The BASE of this triangle is what "part" of the original circle?

radius (r) half of the circumference [math]\left(\pi r\right)[/math] circumference[math]\left(2\pi r\right)[/math] diameter (d)

Question #4

The HEIGHT of this triangle is what "part" of the original circle?

diameter (d) circumference[math]\left(2\pi r\right)[/math] radius (r) half of the circumference [math]\left(\pi r\right)[/math]

Question #5

Rewrite the formula from #2 above with your responses from #3 and #4 substituted into this formula. This new formula is the formula used to find the area of a circle.

[math]A=2\pi r[/math] [math]A=\frac{rd}{2}[/math] [math]A=\frac{\pi r}{2}[/math] [math]A=\frac{2\pi r\cdot r}{2}[/math] or simplified to [math]A=\pi r^2[/math]