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It is known that the circumference of a sector is 8 cm and the area is 4 cm 2. Find the radian of the central angle of the circle
Let X. radius = R XR + 2R = 8 1 / 2 * XR * r = 4, x = 2
If the perimeter of the sector is 8cm and the area is 4cm2, then the radian number of the central angle of the sector is () A. 1 B. 3 Two C. 2 D. 3
Let the arc length of the sector be l and the radius r, so 2R + L = 8,1
2lr＝4，
So l = 4, r = 2,
So the number of radians of the central angle of the sector is 4
2＝2；
Therefore, C
The chord length is 6 meters and the arc height is 0.8 meters. How to find the arc length
Firstly, the radius of the arc is calculated, and the chord length is a and the arc height is h. according to the Pythagorean theorem, the length of the chord is a and the arc height is h,
R^2=(R-h)^2+(a/2)^2,
R^2=R^2-2Rh+h^2+a^2/4,
R=(0.8^2+3^2)/(2*0.8)=6.025(m),
Then calculate the angle degree α of the center of the circle,
tan(α/2)=(a/2)/(R-h)=3/5.225=0.5741,
α/2=29°53'=29.88°,
α=59.76°
The arc length s = n π R / 180 = 59.76 * 3.1416 * 6.025/180 = 6.284 (m)
It is about 60 degree sector, 2 π R / 6 ≈ 2 π
Given the diameter of 21 meters, the chord length is 8.25 meters, and the arc height is 0.83 meters, the arc length is 5.16 meters, and the arc length is 0.33 meters Known diameter 21 meters, chord length 8.25 meters, arc height 0.83 meters, find the arc length? Diameter 21 meters, chord length 5.16 meters, arc height 0.33 meters, calculate the arc length? Please help me calculate the source, OK? Urgent
Let chord length B, radius R and diameter D
1. Find the center angle α of the arc
sin(α/2)=B/D=8.25/21 = 0.39286
α=2arcsin(8.25/21) = 46.27/180
2. Arc length L
L=παR=3.14×46.27/180×21/2=8.475
Known diameter 21 meters, chord length 8.25, Milan arc height 0.83 meters, arc length? Diameter 21 meters, chord length 5.16 arc height, 0.33 meters, arc length? Urgent
Given the diameter of 21 meters, chord length L = 8.25 meters, arc height h = 0.83 meters, calculate the arc length C?
C = 8.471 M
Diameter 21m, chord length 5.16, arc height 0.33m, calculate arc length?
C = 5.672m
What is the formula of arc length and chord length
If the arc length is l and the radius of the circle is r, then the radian of the center angle of the arc is L / R, and it is also the center angle of the circle to which the chord is opposite. By observing the right triangle composed of an endpoint, midpoint and center of the chord, it is easy to know that the length of the chord AB = 2 [R * sin (L / R)]
Know that chord length 5.5, chord center to the highest point of the arc is 0.5, calculate the arc length formula
Know that chord length 5.5, chord center to the highest point of the arc is 0.5, calculate the arc length formula
If the height of the arc = (5.5h) = (5.5h) / (5.5h) / (5.5h) / (5.5h) / (5.5h) / (5.5h) of arc length
=(30.25 + 1) / 4 = 7.8125; center angle θ = 4arctan (2H / b) = 4arctan (1 / 5.5) = 4 × 0.17985392 = 0.72
Therefore, the arc length L = R θ = 7.8125 × 0.72 = 5.624
The chord length is 19.76 meters. The calculation formula of arc length is 3 meters from the center of chord to the highest point of arc Please give the length of the arc!
According to Pythagorean theorem: R ^ 2 = (R-3) ^ 2 + (19.76 / 2) ^ 2 R ^ 2 = R ^ 2 - 6R + 9 + 97.6144 r = 17.77 if the radius of the circle is a, then sin (A / 2) = 9.88/17.77 = 0.556, so: A / 2 = 33.78, that is: a = 67.56 degrees, the arc length is
Know that the chord length is 8 meters, the chord center to the highest point of the arc is 1 meter to calculate the arc length formula Please give the length of the arc!
Let R be the radius of the circle
R^2=(8/2)^2+(R-1)^2
R = 17 / 2
Find the angle a corresponding to the arc length
sin(a/2)=4/R=28.072
56 degrees a = 145 degrees
Arc length L = 2 * r * 3.14 * 56.145 / 360 = 8.32505
So the arc length is 8.32505 meters
Knowing that the chord length is 10.22m, the chord center to the highest point of the arc is 1.37M, and find out the calculation formula of the arc length, `Please give the length of the arc. Another is to know that the chord length is 10.48 meters. The chord center to the highest point of the arc is 1.63 meters. Find the calculation formula of the arc length Help me with this, too
1. Let the radius of arc be r, from Pythagorean theorem we get (10.22 / 2) 2 + (r-1.37) 2 = R? 2, r = 10.215 sin α = 5.11 / 10.215 = 0.5 α = 30 °, then n = 60 ° L = n π R / 180 = 60 × 3.14 × 10.215 / 180 ≈ 10.52
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