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If the radius of the circle becomes 3 times of the original one, and the arc length remains unchanged, the angle of the arc to the center of the circle is several times that of the original arc
If the radius of the circle becomes 3 times of the original one, and the arc length remains unchanged, the angle of the arc to the center of the circle is (1 / 3) of that of the original arc
Center angle (radian) = arc length △ radius
So it's one-third of the original
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What is the arc length of a circle with a radius of 1 and a center angle of - 3 radians?
The circumference of a circle is 2 n radians, and - 3 radians are equivalent to "turning backward" 3 radians, i.e. "positively rotating" (2 n-3) radians. Therefore, the corresponding arc length = radius * radian = 2 n-3
What is the arc length of a circle with a radius of 1 and a center angle of - 3 radians? Arc length = radian of center angle * radius of circle = 3 How is this formula derived?
Arc length C, center angle a (degree), radius of circle R
C=2*PI*R*A/360=PI*R*A/180=R*(A*PI/180)
A * pi / 180 = (radian)
C = R * a (radian)
If the arc length of a sector is 20 π cm and the radius of a circle is 30 cm, then what is the central angle of the sector?
Two hundred and forty
Given that the radius of the sector is 30cm and the center angle of the circle is 60 °, then the arc length of the sector is______ Cm (results retain π)
∵ the radius of the sector is 30cm and the center angle is 60 °,
The arc length of the sector is 60 × π × 30
180=10π（cm）．
So the answer is: 10 π
It is known that the center angle of a fan-shaped arc is 72 degrees and the radius is 30cm. Find the circumference of the sector
analysis
Find the arc length first
According to the formula
l=nπr/180
l=72πx30/180
=12 cm
So perimeter = arc length + 2 radius
=12+2x30
=12+60
=72cm
The radius of the circle where the arc is located is 2.5 PI
Circumference: 360 ° = 2.5 π: 75 °
2πR：360°=2.5π：75°
R=360°x2.5π/(75°x2π)=6；
The arc length of the circle center angle of 75 degrees is 2.5 school, and what is the radius of Renze temple and its circle
Arc length = radius * center angle (radian)
R*75°*π/180°=2.5πcm
R=2.5*180°/75°=6cm
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Given that the arc length of an arc accounts for 4 / 5 of the circumference of the circle where it is located, the angle of the center of the circle to which the arc length is directed is () degrees
Given that the arc length of an arc accounts for 4 / 5 of the circumference of the circle where it is located, the angle of the center of the circle to which the arc length corresponds is 288 degrees
360 × 4 / 5 = 288 degrees
If the arc length is 4 π and the center angle is 60, then the circumference of the circle is ()
If the arc length is 4 π and the center angle is 60, then the circumference of the circle is (24 π)
[analysis] 4 π △ 60 / 360 = 24 π
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