In geometry, a cardioid (from Greek καρδιά (kardiá) 'heart') is a plane curve traced by a point on the perimeter of a circle that is rolling around a fixed circle of the same radius.

Jul 23, 2025 · A cardioid is a specific type of mathematical curve that resembles the shape of a heart. It is a plane curve generated by a point on the circumference of a circle that rolls around a fixed circle …

Dec 3, 2025 · The cardioid has a cusp at the origin. The name cardioid was first used by de Castillon in Philosophical Transactions of the Royal Society in 1741. Its arc length was found by la Hire in 1708. …

A cardioid is a shape, defined in two dimensions, that looks like the shape of a heart. The cardioid is formed by following the path of a point on a rolling circle over another fixed circle of the same radius.

Jan 11, 2023 · A cardioid (from Greek, "heart-shaped") is a mathematically generated shape resembling a valentine heart or half an apple. Constructing a cardioid on a polar graph is done using equations.

Discover the meaning of cardioid, its equation, properties, graph, and real-world applications, including cardioid microphones and audio. Perfect for maths students and exam revision.

A cardioid is a plane curve traced by a point of a circle that is rolling on the circumference of another circle of the same radius. A cardioid is also called a Greek heart.

Dec 11, 2016 · The meaning of CARDIOID is a heart-shaped curve that is traced by a point on the circumference of a circle rolling completely around an equal fixed circle and has an equation in one …

To find the equation written in the header, take the conchoid of the circle (C), centred in W (a /2, 0) passing through O, with respect to O and modulus a (therefore, the cardioid is a special case of …

The more lines you draw, the \curve" that they make out, known as the cardioid (heart-shaped), will appear more smooth, except for that pinch on the left. The position of the pinch, more formally called …