If the radius of the circle is 6, then the arc length of the center angle of 60 ° is______ .

If the radius of the circle is 6, then the arc length of the center angle of 60 ° is______ .


According to the formula of arc length, l = n π R180 = 60 π × 6180 = 2 π



What are sin0 ° sin90 ° =? Sin180 ° =? COS and tan, cot respectively?


sin0=0,Sin90=1,Sin180=0.COS0=1,cos90=0,cos180=-1.



I don't know how to calculate trigonometric functions, such as sin0, sin180, cos0, cos180


Remember the figure of the unit circle
sina=y/R
cosa,=x/R
So sin0 = 0 / r = 0 / 1 = 0
,sin180,=0/R=0/1=0
cos0 =1/R=1/1=1
cos180=-1/R=-1/1=-1



Cos180 'is equal to?


cos180'
=cos(180/60)°
=cos3°.



If a and B in the fraction AB / A + B (A and B are both positive numbers) are expanded to 2 times of the original, then how many times of the original is the value of the fraction?


ab/(a+b)=k
2a*2b/(2a+2b)=4ab/2(a+b)=2ab/(a+b)=2k
twice as much



Fill in the blanks: sin0 degrees=___ Sin90 degrees=_____ Sin180 degrees=______ 270 degrees=_____ Sin360 degrees=____
And cos0, cos90, cos180·········
And tan, the same degree as above


Sin0 degree = 0
Sin90 = 1
Sin180 = 0
Sin270 degrees = - 1
Sin360 = 0
Cos0 degree = 1
Cos90 = 0
Cos180 degree = - 1
Cos270 = 0
Cos360 = 1
Tan0 degree = 0
Tan90 degree = ∞
180 degrees = 0
Tan270 degrees = - ∞
Tan 360 = 0



For a quarter arc with radius of 10, add 3mm arc length at both ends of the arc. What is the chord length of the arc


For a quarter arc with a radius of 10 mm, add 3 mm arc length at both ends of the arc, what is the chord length of the arc?
Quarter arc length = 2 * pi * 10 / 4 = 5 * pi = 15.708
Now arc length = quarter arc length + 2 * 3
=15.708+6
=21.708
Now the angle of arc length to the center of circle a = 21.708 * 180 / (pi * 10)
=124.377 degrees
Now the chord length of arc = 2 * r * sin (A / 2)
=2*10*SIN(124.377/2)
=17.69mm
Now the chord length of the arc is 17.69mm



CAD knows how to draw an arc with radius and arc length (not chord length)
It's arc length, not chord length


Do you mean the arc length of a circle? If it is, please do as I said: if you know the radius, you can find the perimeter (perimeter = diameter × π), because the perimeter is the arc length of the circle when it is 360 degrees, so the ratio of the arc length to the circumference of the upper circle is the ratio of the center angle of the arc to 360 degrees, so the center angle of the arc is



Know the arc length and chord length of the arc and find the radius
Arc length 164. Chord length 151


Let R be the radius and a be the center angle
164= a r
151=2 r sin(a/2)
So sin (A / 2) / a = 151 / 328
Use a calculator to solve the transcendental equation
A = 1.40 radians ≈ 74.00 degrees
r=164/a=117.46
The radius is 117.46, and the center angle of the arc is 74 degrees



Know the arc length of a circle and the corresponding chord length, and calculate the radius of the circle
The arc length is 6 meters
The corresponding chord length is 4.65 meters


Connect the center of the circle to the midpoint of the arc. This line is the perpendicular of the string
Let the angle between it and radius be x and radius be r
The results show that RX = 3, 2rsinx = 4.65
Solving equations by oneself