Calculation formula of bow area

The calculation formula is as follows:

Formula description:

Formula 1 is the arcuate area formula corresponding to the lower arc, formula 2 is the arcuate area formula corresponding to the upper arc, and formula 3 is the arcuate area formula corresponding to the semicircle.

Where n is radian, r is radius, a is chord length and h is the height of triangle.

Extended data

related notion

A table refers to the part where a sphere is cut by two parallel planes and sandwiched between them. The two round table tops are the upper bottom surface and the lower bottom surface respectively, and the part perpendicular to the diameter of the round table tops is higher.

The volume of the table is one:?

R 1, r2 is the radius of the top and bottom of the table, and h is the height of the table.

The volume of the table is two:?

S 1, S2 is the top and bottom area of the table, and H is the height of the table.

Conic curve, also known as conic curve, quadratic curve and quadratic plane curve, is a curve obtained by cutting a cone flat in mathematics and geometry (strictly speaking, a right conical surface is completely tangent to a plane), including circles, ellipses, parabolas, hyperbolas and some degenerate types.

Around 200 BC, conic curves were named and studied, and their discoverer was the ancient Greek mathematician Apollonius. At that time, apollonius had made a systematic study on their properties.

The most widely used definition of conic curve is (unified definition of ellipse, parabola and hyperbola): A point set whose ratio of the distance from a moving point to a point (focus) to a line (directrix) is constant (eccentricity e) is a conic curve. For 0; 1 gets a hyperbola.

References:

Bow- Baidu encyclopedia