A Circle is a closed plane curve every point of which is equidistant from a fixed point within the curve A Parabola is a plane curve formed by the intersection of a right circular cone and a plane parallel to an element of the curve. Formula of a Circle: (x-h)² + (y-k) ² = r² Formula of a Parabola: y =L 1 l (x-h) ² + k 4p Uses: The circle is the basis of the wheel.
Uses: Parabolic mirrors are used to converge light beams at the focus of the parabola. Parabolic microphones perform a similar function with sound waves. the parabola is used in the design of car headlights and in spotlights because it aids in concentrating the light beam L1 l x= (y-h) ² + k 4p
Samples in History: Stonehenge is in the shape of a circle when seen from an aerial view. The circle is the basis for the wheel and gears.
Samples in History: Galileo concluded that projectiles follow a certain curve: the shape of parabola. The Arch of Titus in Rome.
L1 = l 4p
(x-3)² - 4
(x-5)² + (y-2) ² = 36