The math science. the formula for the radius of a circle based on the length of a chord and the height is: r = l2 8h h 2 r = l 2 8 h h 2. where: r is the radius of a circle. l is the length of the chord . this is the straight line length connecting any two points on a circle. h is the height above the chord. This problem, with the same solution, comes up in amateur radio: how far can two uhf stations communicate at at sea where the earth is smooth, given the radius of the earth and the height of their antennas. or how far the mast of a ship must be to disappear from the horizon, given the height of the mast and the curvature of the earth.
The chord to radius calculator finds applications in different scenarios: engineering and construction: helps in designing and constructing circular structures, such as arches and bridges, by determining the radius needed for a given chord length and arc height. geometry and mathematics: useful in solving geometric problems involving circles. Answer: the radius of a circle with a chord is r=√ (l 2 4h 2) 2, where 'l' is the length of the chord and 'h' is the perpendicular distance from the center of the circle to the chord. we will use pythagoras theorem to find the radius of a circle with a chord. This calculator calculates for the radius, length, width or chord, height or sagitta, apothem, angle, and area of an arc or circle segment given any two inputs. please enter any two values and leave the values to be calculated blank. there could be more than one solution to a given set of inputs. please be guided by the angle subtended by the arc. Chord of a circle examples. example 1: in the given circle, o is the center, and ab which is the chord of circle is 16 cm. find the length of ad if om is the radius of the circle. solution: we know that the radius of a circle is always perpendicular to the chord of a circle and it acts as a perpendicular bisector.
Comments are closed.