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A chord with a length equal to the radius has a central angle equal to______ Radians
Because a string with a length equal to the radius has a center angle of π
3 radians
So the answer is: π
3．
The length of a string is equal to the radius. Is the central angle of the circle opposite the string 1 radian? Why?
No, the degree is 60 degrees. You can know by drawing. Now draw a string equal to the radius in the circle. Connect the two ends of the string to the center of the circle to form an equilateral triangle with side length equal to the radius. The internal angle of the equilateral triangle is 60 degrees
Is the length of a radius equal to the radius, and the central angle of the circle opposite this string equal to 1 radian? Why?
If the length of an arc is equal to the radius, the central angle of the arc is 1 radian. The radian value of the angle is equal to the length of the arc divided by the radius
If the length of a chord is equal to the radius of a circle, the number of radians of the center angle of the circle to which the chord is opposite is () A. 1 B. π six C. π three D. π
If the radius is r, the chord length is r,
By two radii, the chord can form an equilateral triangle with an internal angle of 60 °,
Then the radian number of the central angle of the string to the circle is π
3．
Therefore: B
If the length of the arc is equal to the side length of the regular triangle in the circle, the radian digit of the center angle of the arc? (the answer is open radical 3,
Let the radius of the circle be r
Then the side length of the inscribed regular triangle of its circle is root 3 times R
Because the arc length is equal to the side length of the inscribed regular triangle cutting its circle, the arc length is equal to the root sign 3 times R
Because the circumference of the circle is 2 times R
Then the radian number of its center angle is root 3
What is the arc length with a radius of 5cm and a center angle of 72 °?
L=nπr
180=72 × three point one four × five
180=6.28（cm）．
A: the arc length is 6.28cm
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