Find the arc area formula, the arc area calculation formula

To correct your statement, an arc is a curve, and it can only be said that the area of a fan. Sector area s=1 2lr (l is the arc length, r is the radius) This is an expression that can be remembered as "the sector area is equal to the half arc length times the radius".

There is also a derivation:

The length of the arc l=n 2 r 360=n r 180 (n is the central angle of the arc) so the area s=1 2lr=n r square 360

360/n square r.

n is the numerical value of the number of angles at the center of the circle.

r is the radius.

Is it engaged in decoration, we are all using length into width equal to area, although the area is not real, but the cost of difficult work, it is almost strangled!

Arc area formula: l = n (the number of angles in the center of the circle) 1) r (radius) 180 (angle system), l = (radian) r (radius) (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

The arc area calculation formula, the arc calculation method in the math exam is a common question type, so we need to have a certain understanding of the arc calculation method, the following is some of the information I have compiled for you about the arc area calculation formula, let's take a look!

An arc is the shape of a circle or part of an ellipse. Either from a straight line or horizontally. Deviate or bend so that it appears as an arc or elliptical arc.

To find the arc area, first set 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

Find r, you can find the angle corresponding to the arc, and then find the area of the arc.

Formula for arc area

1. The known arc length l and radius r: s sector = 1 2lr.

2. The central angle n° and radius of the known arc.

s sector = n r 2 360.

The formula for calculating the arc is as follows: s=1 2lr=n r 360 (l is the arc length, r is the radius).

The formula for calculating arc length is: l=n (number of angles in the center of the circle) 1) r (radius) 180 (angle system), l = (radian) r (radius) (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.

The shape enclosed by an arc and two radii passing through both ends of the arc is called a fan (the combination of a semicircle and a diameter is also a fan). Obviously, it is made up of a part of the circumference of the circle and its corresponding central angle. The definition of the fan in the Geometry is as follows:

A figure enclosed by two sides of the corner where the vertex is at the center of the circle and a section of the arc that is truncated on both sides.

Area formula

r is the radius of the fan, n is the number of angles of the arc to the center of the circle, is the pi, and l is the arc length corresponding to the fan.

It is also possible to divide the area of the circle in which the sector is located by 360 and multiply it by the angle n of the central angle of the sector as follows:

l is the arc length, r is the fan radius).

Derivation process: s= r l 2 r = l r 2

The perpendicular diameter theorem of a circle:

Bisect the chord perpendicular to the diameter of the string, and bisect the two arcs opposite the chord.

Like a stone arch bridge.

Arc area formula.

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; Degrees of the central angle s=r2 2· ( 180-sin )

r2arccos[(r-h)/r] -r-h)(2rh-h2)1/2

αr2/360 - b/2·[r2-(b/2)2]1/2

r(l-b)/2 + bh/2

2bh/3

Arc length formula and area formula for arc arc:1. The known arc length l and radius r: s sector = 1 2lr.

2. The central angle n° and radius of the known arc.

s sector = n r 2 360.

The formula for calculating the arc is as follows: s=1 2lr=n r 360 (l is the arc length, r is the radius).

The formula for calculating arc length is: l=n (number of angles in the center of the circle) 1) r (radius) 180 (angle system), l = (radian) r (radius) (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.

How to calculate the arc area.

The three conditions of arc length, distance between two arc points, and arc height are enough to know any two.

1) The radius of the circle and the degree of the central angle of the arc to which the arc is directed are obtained from the known arc length and the known chord length (the distance between the two arc points).

2) The sector area and triangle area are obtained from the radius and the central angle of the circle.

3) The area of the sector minus the area of the triangle and the area of the arc.

Arc area formula: l = 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; Quickly open the a—the number of angles in 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 acre of the center 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

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 Zheng Fu Shi yuán hú, the part between any two points on the circle is called the arc, referred to as arc. Middle and high school mathematics classes have a teaching hall banquet. 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 with point f, then point f is the center of the arc.

Arc area formula: l = 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; Quickly open the a—the number of angles in 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 acre of the center 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: s=n (number of angles at the center of the circle) 1) r (radius) 180 (angle system), l = (radian 1653) r (radius) (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.

An arc is the shape of a circle or part of an ellipse. Any deviation or bend from a straight line or horizontally is such that it appears as an arc or elliptical arc.

When the space occupied by an object is a two-dimensional space, the size of the space occupied is called the area of the object, which can be flat or curved. The square meter, square decimeter, square centimeter, is the recognized unit of area, which can be expressed by letters as (m2, dm2, cm2).