Here goes:

**Proof**

(A=area, C=Circumference, r=Radius)

∏r

^{2}= A

Multiplying both sides by 2,

2∏r

^{2}= 2A

As 2∏r = C,

Cr = 2A

Cr/2 = A

**Here's the trick:**

We know that

2∏/2∏ = 1.

So,

Cr/2 x 1 = A.

Cr/2 x 2∏/2∏ = A.

So, we finally have,

Cr x 2∏/2 x 2∏ = A

Again, 2∏r = C,

So,

C x C/4∏ = A

C

^{2}/4∏ = A.

**For those of you too lazy to read:**

Hope this helps!

Go ahead and solve a few problems. They turned out perfect for me!

Oh, and sorry if this thread is too long, but you know math!

--------------------

## Follow Us On