If the arc length opposite the center angle of 2 radians is 4cm, the area of the sector sandwiched by the center angle is ___

If the arc length opposite the center angle of 2 radians is 4cm, the area of the sector sandwiched by the center angle is ___

Radian is the arc length opposite the center angle of 2, so the radius of the circle is: 2,
Therefore, the area of the sector is: 1
two × four × 2=4cm2；
So the answer is 4cm2

Calculation formula of sector arc length Find the arc length with known radius and length

You wrote me wrong
Arc length = radius * angle

Who can tell me the calculation formula of sector arc length? There is also a formula for calculating the sector area In addition, don't tell me some symbols. I want a text description. I can't understand the symbols

The center angle of the sector arc length is n
Then the arc length accounts for N / 360 of the whole arc
The circumference of the circle is 2 π R
‡ sector arc length = n / 360 times 2 π r = n π R / 180
Similarly, the area is n / 360 of the area of the whole circle
∵ the area of the circle is π R ^ 2 / 360

The formula for calculating the arc length. The chord length and arc height are known

Formula for finding arc length C. known chord length L and arc height H
The arc radius is R and the center angle of the arc is a
R^2=(R-H)^2+(L/2)^2
R^2=R^2-2*R*H+H^2+L^2/4
2*R*H=H^2+L^2/4
R=H/2+L^2/(8*H)
A = 2 * arc sin ((L / 2) / R) degrees
=(2 * arc sin ((L / 2) / R)) * pi / 180 radians
C=A*R

What is the formula for calculating the radius of any circular arc given its chord length and arch height?

Solution of countable equation
If the chord length is D, the arch height is h and the radius is r, then
By Pythagorean theorem (you can draw a graph yourself)
Square of (D / 2) + square of (R-H) = square of R
From which R can be solved
do you understand?
If you don't understand, ask again

Given the chord length of 3.3m and the arch height of 0.976m, find the arc length and area. It's best to have a formula

Given chord length L = 3.3m, arch height h = 0.976m, find arc length C and area s?
The arc radius is R and the center angle of the arc is a
R^2=(R-H)^2+(L/2)^2
R^2=R^2-2*R*H+H^2+L^2/4
2*R*H=H^2+L^2/4
R=H/2+L^2/(8*H)
=0.976/2+3.3^2/(8*0.976)
=1.8827m
A=2*ARC SIN((L/2)/R)
=2*ARC SIN((3.3/2)/1.8827)
=122.42 degrees
=122.42*PI/180
=2.136629 radians
C = R * a = 1.8827 * 2.136629 = 4.0227m
S=PI*R^2*A/(2*PI)-(L/2)*(R-H)
=PI*1.8827^2*2.136629/(2*PI)-(3.3/2)*(1.8827-0.976)
=2.2907 M2