Area of polar diagram

[ray5450]

Would this represent the area of a polar diagram?

A_p = ⌡^{2π.. 1} r² dθ
........⁰......²

 

[stapel]

Would this represent the area of a polar diagram?

A_p = ⌡^{2π.. 1} r² dθ
........⁰......²

Does the above mean "A_p = int[0,2pi] [(1/2)r^2] d(theta)"? So it would typeset as follows?

. . . . .\(\displaystyle \displaystyle A_p\, =\, \int_0^{2\pi}\, \dfrac{1}{2}\, r^2\, d\theta\)

(To learn how to format math as text, please try here.)

Also, what is causing you to doubt the usual formula? Thank you!

 

[ray5450]

I don't see the difference in the 2 non-text expressions that each of us typed, except that yours is in bold, is slightly bigger, and appears to be a different font.

It is too hard to read when formatted with text.

The link you offered tells me that I am correct. Thank-you.