Calculation formula of arc length

The calculation formula of arc length is:

L=n×π×r/ 180, L=α×r, where n is the degree of central angle (angle system), r is the radius, l is the arc length of central angle, and α is the degree of central angle (arc system).

1, arc length formula: l = n (central angle) ×π(π)× r (radius)/180=α (radian of central angle )× r (radius) is in a circle with radius r, since the arc length corresponding to central angle 360 is equal to the circumference of the circle C = therefore, The arc length corresponding to the central angle n is L = N π r ÷ 180 (L = N X2 π r). The second formula for the arc length of a sector is that the arc length of a sector is actually one side of a circle, and the angle of the sector is a fraction of 360 degrees, so the arc length of a sector is the circumference of the circle. Sector area formula: s (sector area) = nπ r 2/360n is the degree of central angle, and r is the radius of base circle.

2. The arc length formula is derived from the theorem that the ratio of the lengths of two arcs on the same or equal circle is equal to the ratio of the central angles of the two arcs and the circumference formula of the circle. Arc length formula is one of the basic formulas of plane geometry. The arc length formula describes the arc length, that is, the relationship between the length, radius and central angle of an arc passing through two points on a circle.

S fan =(lR)/2 (l is the arc length of the fan)

S fan = (n/360) π r 2 (n is the degree of the central angle and r is the radius of the circle corresponding to the sector).

S fan = (α r 2)/2 (α is the radian of the central angle)