yeeey and shmI'll make a projectile motion I guess haha.
If you want a question, prove the area of a circle without the use of calculus. (this should be pretty easy though).Nice work, you have just proved the area of a circle. (Im not sure if you would have to prove that a semi-circle is half a full circle first though before saying it)
Either way, nicely done, also for part b, its just there so people dont get lost when they try to integrate it.
Can someone else post a question? Ive run out of ideas at the moment.
I can imagine three possible proofs.If you want a question, prove the area of a circle without the use of calculus. (this should be pretty easy though).
You can assume that the circumference is given by .
Is that for the "How many eight letter words in PARRAMATTA" question?
Also Spiral, a Binomial proof one would be nice, (or anything to do with proofs) but anything will do, as long as its not Probability.
Very nice!Also about proving the area of a circle without calculus. I came to this:
Let a regular polygon with n-sides be inscribed in a circle. We can split the polygon into an n number of triangles. If the radius of the circle is r, then the total area of the n-number of triangles is:
Where Theta is the angle subtended by each triangle. However because the total angle of revolution is 2pi
And if we take the limit of it as
Graphing this in geogebra, I am able to see an asymptote at pi, then when multiplied with r^2 you get the area of the circle pi r^2
However, I dont know how to evaluate the limit, if it is even possible for a 3U student. Is it possible to evaluate this limit with 3U knowledge?