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In a circle with a radius of 2, the number of radians of the center angle of the arc with an arc length of 1 is _
∵L=R θ
∴ θ= one
two
So the answer is: 1
two
Given the arc length and arc height, calculate the arc diameter? The arc length is 2240mm and the arc height is 500mm. Find the radius of the circle? Please inform us of the formula and results
Let the angle corresponding to the arc length be a and the radius be r
Then angle a = 2240 / (2 * 3.14 * r)
R = RCOs (A / 2) + H (H is high radian)
a. H can be obtained by substituting into the above formula
As shown in the figure, a curve is arc-shaped, with a length of 12m. The center angle of the arc is 81 °. How many meters is the radius r of this arc? Seeking process
Arc length L = n π R / 180
So, r = 180L / (n π) = 180 × 12/(81π)=8.492
Or write it as = 240 / 9 π
Given that the chord length of the center angle of 2 radians is 2, then the arc length of the center angle is () A. 2 B. sin2 C. 2 sin1 D. 2sin1
Connecting the center of the circle and the midpoint of the string, a right triangle is formed by the chord center distance, half the chord length and the radius. The half chord length is 1 and the center angle of the opposite circle is also 1
Therefore, the radius is 1
sin1
The arc length opposite the center angle is 2 × one
sin1=2
sin1
So choose C
Given that the chord length of the center angle with radian number 2 is also 2, the arc length of the center angle is () A. 2 B. 2sin1 C. 2sin-11 D. sin2
As shown in the figure, in the sector OAB, the center angle ∠ AOB = 2, and the point passing through 0 is OC ⊥ AB at point C,
Extend OC, intersect arc AB at point D,
Then ∠ AOD = ∠ BOD = 1, AC = 1
2AB=1，
∵ in RT △ AOC, Ao = AC
sin∠AOC=1
Sin1, radius r = 1
sin1，
‡ arc AB length L= α• r=2•1
sin1=2
sin1=2sin-11．
Therefore: C
The arc length is 9.6m, and the other arc length is 3.7m. The distance between them is 4m. What is the radian
The arc length C1 = 9.6m, and the distance between the other arc length C2 = 3.7m is 4m. What is the radian a?
The arc radius of arc length C1 is R1, and the arc radius of arc length C2 is R2
R1-R2=4
A=C1/R1=C2/R2=9.6/R1=3.7/R2
R2=(3.7/9.6)*R1
R1-R2=R1-(3.7/9.6)*R1=(5.9/9.6)*R1=4
R1 = 4 * (9.6 / 5.9) = 6.5085 M
R2 = (3.7 / 9.6) * R1 = (3.7 / 9.6) * 6.5085 = 2.5085 M
A = C1 / R1 = 9.6 / 6.5085 = 1.475 radians
RELATED INFORMATIONS
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