Feb 12, 2020 · HINT.-In the attached figure you can calculate the intersection point $P$ and the angles $a$ and $b$. You know the area of a circular sector $OPR$ is given by $\dfrac …

What would you set the limits if you need to calculate the area of an infinitesimal ring in cartesian coordinates i.e. $\int dx \int dy $.. where you only want to integrate on the infinitesimal ring..

Jul 28, 2014 · 48 I was looking for proofs using Calculus for the area of a circle and come across this one $$\int 2 \pi r \, dr = 2\pi \frac {r^2} {2} = \pi r^2$$ and it struck me as being particularly …

Apr 13, 2017 · 4 There's a classic trick to do this with just elementary geometry: The green region is a triangle, and the shaded region is a circular wedge: both have standard formulas for their …

Dec 23, 2011 · I have a circle that's off-center, but I want to find out the area of the part of the circle in the positive x and y region. Not sure how to do this because of the multiple variables …

Jan 5, 2014 · 2 I am trying to calculate the area of a specific region inside a circle. The region, in this case, is the green area inside the circle. The given material is the equation, radius and the …

Suppose you have 2 circles that intersect each other in such a way that each circle passes through the other's center. What is the area between the circle (or common area) i.e. area …

Jan 10, 2012 · I have two circles, like this: I know the radii of the circles, and I know the X + Y of the center of both circles. Can I get the size of the area that is black in my picture?

Apr 29, 2011 · the diameters differ by 9cm, so if the inner circle has radius r, the outer circle has radius r + 4.5. The area of the crescent is the difference in the areas of the circles: pi (r + …

Jun 13, 2013 · 1) The area of a circle is $0$. You are computing the area of a disc. 2) Your integral is off by a factor $2$ (it gives only the area of a half-disc).