What is the formula for calculating the arc area, what is the formula for the arc area?

Let the straight-line distance a between the two ends of the arc, and the distance b from the midpoint of the straight line to the midpoint of the arc (a, b are known and are constants).

Let the radius r, then.

r-b)^2

a/2)^2=r^2

Solution, r [(a 2) 4

b^2]/2b＝(a^2)/(8b)

b 2 finds r, you can find the angle corresponding to the arc, and then find the area of the arc.

This figure is called a bow. Its area is equal to the area of the sector and the area of the triangle (a chord can divide a circumference into two parts, and the bow area of the part larger than the semicircle is calculated with +, and the smaller part is subtracted.)

The sector area needs to be found using the radius and the central angle, which can be found using the conditions you give.

There are two ways to calculate the arc, the angle system: s= *n*r*r 360

Radian system: s=lr 2=a*r*r 2

The question in the question uses the radian system, r is the radius, and l is the arc length.

Finding the arc area has a radian system, s=lr 2, the arc length is known, so you can get the area of the arc by just finding the radius, r is the radius, l is the arc length, and the distance between the two arc points is m.

It is known that the arc height and the distance between the two arc points, the radius is the hypotenuse of the triangle, the radius is subtracted, the arc height is the length of the short right-angled side of the triangle, half of the distance between the two arc points is the length of the triangle forming the right-angled side, according to the Pythagorean theorem, the length of the radius r can be obtained, and finally the area of the arc can be found according to the formula S=1 2lr.

The steps to solve the problem are:

r*2-（r-h）*2=1/2m*2

s=1/2lr

Extended information: The sector is an important figure related to the circle, and its area is related to the central angle (apex angle) and the radius of the circle, the central angle of the circle is n°, and the area of the sector with radius r is n 360* r 2. If its apex angle is in radian units, it can be simplified to 1 2 radian radius.

The sector also has similarities with the triangle, and the simplified area formula described above can also be seen as: 1 2 arc length radius, which is similar to the triangle area: 1 2 base height.

ln (central angle).

Pi) r (radius) 180= (radians of the central angle).

r (radius) In a circle with radius r, since the arc length of the central angle of 360° is equal to the circumference of the circle c=2 r, the arc length of the central angle of n° is l=n° r 180°(l=n°x2 r 360°).

The second formula for the arc length of the fan is: the arc length of the fan, in fact, is the length of one of the sides of the circle, the angle of the fan is a fraction of 360 degrees, then the arc length of the fan is a fraction of the circumference of the circle, so we can obtain: the arc length of the fan = 2 r angle 360, where 2 r is the circumference of the circle, and the angle is the angle value of the fan.

The formula for calculating the arc area is s=1 2lr=n r 360 (l is the arc length and r is the radius).

Arc is a Chinese word, pinyin is yuán hú, the part between any two points on the circle is called arc, referred to as arc. Middle and high school math classes are taught. The two ends of any diameter of the circle divide the circle into two arcs, which is larger than the semicircle and is called the superior arc, and smaller than the semicircle is called the inferior arc.

Any arc can find the center of the circle in which it is located by the following method:

1) First of all, take 3 points a, c, and c arbitrarily on the arc;

2) Connect AB BC to form two straight lines;

3) Use a ruler to find the midpoint of the two straight lines of ab bc d e;

4) Use d e as the perpendicular bisector of ab bc, and the two perpendicular bisectors intersect at point F, then point F is the center of the arc.

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The formula for the area of the arc: s=n r 2 360. The arc is the part between any two points on the circle, and the two ends of any diameter of the circle divide the circle into two arcs.

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The formula for the area radian of a circle: s=lr 2=a*r*r 2.

In the radian system, r is the radius and l is the arc length. A semicircle is also an arc, the straight line connecting the two points of AB is a chord AB, and the semicircle is neither an inferior arc nor an excellent arc, it is a boundary that distinguishes the inferior arc from the superior arc.

Sector arc length: l = central angle (radian system) r = n r 180 ( is the central angle) (r is the radius of the fan).

Sector area: s=n r 360=lr 2 (l is the arc length of the fan).

Radius of the bottom surface of the cone: r=nr 360 (r is the radius of the base) (n is the central angle).

Definitions

By definition, the number of radians in a week is 2 r r = 2 , and the angle of 360° = 2 radians is, therefore, 1 radan is about, i.e., 57°17''', 1° is 180 radians, approximate is radians, circumference is 2 radians, flat angles (i.e., 180° angles) are radians, and right angles are 2 radians. In specific calculations, when the angle is given in radians, the radian unit is usually not written, and the value is written directly. The most typical examples are trigonometric functions, such as sin 8 and tan (3 2).

Arc area formula: l n (number of angles at the center of the circle) 1) r (radius) 180 (angle system), l (radians) r (radian system) (radian system). where n is the number of angles at the center of the circle, r is the radius, and l is the arc length of the center of the circle.

Sector: r—radius of sector; a—the number of angles at the center of the circle. c＝2r＋2πr×（a／360）；s＝πr2×（a／360）。

Arch: l arc length; b Chord length; h Sagittal height; r radius; The degree of the central angle of the circle.

s＝r2／2·（π180－sinα）＝r2arccos［（r－h）／r］ －r－h）（2rh－h2）1／2＝παr2／360 － b／2·［r2－（b／2）2］1／2＝r（l－b）／2 ＋ bh／2≈2bh／3

Arc area formula: l Pai n (number of angles at the center of the circle) 1) r (radius) 180 (angle system), l (radian) r (radian system) (radian system). where n is the number of angles at the center of the circle, r is the radius, and l is the arc length of the center of the circle.

Sector: r—radius of sector; a—the number of angles at the center of the circle. c＝2r＋2πr×（a／360）；s＝πr2×（a／360）。

Arch: l arc length; b Chord length; h Sagittal height; r radius; The degree of the central angle of the circle. Silver Edge.

s＝r2／2·（π180－sinα）＝r2arccos［（r－h）／r］ －r－h）（2rh－h2）1／2＝παr2／360 － b／2·［r2－（b／2）2］1／2＝r（l－b）／2 ＋ bh／2≈2bh／3

1. The formula of the arc area (l = arc length of the arc, r = radius):

2. The arc is represented by the symbol "". For example, an arc with a or b as the endpoint is read as arc ab or arc ab. The arc larger than the semicircle is called the superior arc, and the arc smaller than the semicircle is called the inferior arc laughing wild tour. The degree of the pin arc refers to the degree of the angle of the center of the circle to which the arc is opposed.

3. The semicircle is also an arc, the straight line connecting the two points of AB is the chord AB, the semicircle is neither an inferior arc nor an excellent arc, and its spine is a boundary to distinguish the inferior arc from the superior arc.