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The radius of the circle is 240mm. How many degrees is the center angle of the circle opposite to the arc with a length of 500mm on the circle? Why is the answer only positive
[500/(2π240)]*360
=(500/480π)*360
=375/π
A: the central angle of the circle opposite to the arc with a length of 500mm on this circle is (375 / π) degrees
What is the simplest formula for calculating the radius of an arc? Given the chord length and height of an arc, how to calculate the radius of an arc?
If the chord length is a and the height is h, then r = √ (A / 4 + H) ²）
Radian formula for finding arc The distance between the two ends is 12 meters. Find its radian?
Height h = 1m, distance between two ends L = 12m. Find its radian a?
The arc radius is r
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)
=1/2+12^2/(8*1)
=18.5M
A=2*ARC SIN((L/2)/R)
=2*ARC SIN((12/2)/18.5)
=37.85 degrees
=37.85*PI/180
=0.660595 radians
Any arc, given its chord length and arch height, what is the formula for finding the arc length? Chord length 1.7, arc height 0.2
If the radius is r, there is
(r-0.2)^2+0.85^2=r^2
After solving R, find the center angle A
Then the arc length is R * a
It is known that the curve radius of a section of highway is 50m and the center angle of the curve is 60 degrees. Calculate the length of the curve (accurate to 1m)
Circumference of circle = 2 * 50 * 3.14 = 314
Curve length = 314 * 60 / 360 = 314 / 6 = 52m
The central angle of an arc is 300 °, and the arc length is equal to the circumference of the circle with a radius of 6 cm. Find the radius of the circle where the arc is located
Circumference of circle with radius 6 = 12 * π
The center angle of an arc is 300 °, and its opposite arc length = circumference * 300 / 360 = 5 π R / 3
Column equation
5πR/3=12π
The solution is r = 36 / 5 = 7.2 cm
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