The vertical side of this rectangle is the radius of the circle and the length of the side is half of the circumference (so, 2πR). Yes, the area of this rectangle would be π R 2 . That's the ...

Higher; Circles and graphs Finding the equation of a circle. The equation of a circle can be found using the centre and radius. The discriminant can determine the nature of intersections between ...

This means that, using Pythagoras’ theorem, the equation of a circle with radius \(r\) and centre (0, 0) is given by the formula \(x^2+ y^2= r^2\). Example Find the equation of a circle with ...