- #1

Rafeeg

- 4

- 0

## Homework Statement

"

*Set up an integral involving a function and evaluate the integral to prove the formula for the area of a circle of radius r is pi*r^2. Show all steps."*

**2. The attempt at a solution**

I imagined the circle as an infinite tiny arc lengths or "circumference's", with each arc length = 2*pi*R, where R is changing as we move from the center to the outer ring and dR as thickness

so

Area = integration of (2*pi*R*dR) from 0 to r

which gives pi*r^2

My professor does not like this answer, she said our lesson is about calculus arc length and I have to use techniques from that lesson. But I don't find anything in the question requesting that.

Also would be kind if you can link the proof from other websites so I can show her, because she doesn't trust students.

Regards

Rafeeg