Only thing left is to show the area of that new circle is clearly also π(R^2-r^2)
Only thing left is to show the area of that new circle is clearly also π(R^2-r^2)
The area of the annulus is π(R^2-r^2)
The tangent meets the radius of the smaller circle at right angles. Create a right angled triangle with vertices at the centre and point of contact of tangent and circles using Pythagoras, the diameter of the new circle is R^2-r^2.
The area of the annulus is π(R^2-r^2)
The tangent meets the radius of the smaller circle at right angles. Create a right angled triangle with vertices at the centre and point of contact of tangent and circles using Pythagoras, the diameter of the new circle is R^2-r^2.
Divinity OS is really good (not sure about system requirements)
Older CRPGs are a bit dated but Planescape Torment is my favourite RPG it you can deal with the jank.
Divinity OS is really good (not sure about system requirements)
Older CRPGs are a bit dated but Planescape Torment is my favourite RPG it you can deal with the jank.