The arc length corresponding to the center angle of 60 ° is () of the circumference of the circle

The arc length corresponding to the center angle of 60 ° is () of the circumference of the circle

The arc length corresponding to the center angle of 60 ° is (1 / 6) of the circumference of the circle
The circumference of a circle is 360 degrees, so 60 degrees is 1 / 6 of the circumference

In ⊙ o with radius 2, if the length of chord AB is 2, the degree of the circumferential angle opposite chord AB is ___

According to the meaning of the question, string AB and two radii form an equilateral triangle,
The center angle of the circle opposite AB first = 60 °,
① When the circumferential angle is on the superior arc, the circumferential angle = 30 °,
② When the circumferential angle is on the inferior arc, the circumferential angle = 180 ° - 30 ° = 150 °
The degree of circumferential angle is 30 ° or 150 °

Given that the chord AB in ⊙ o is equal to the radius, find the degrees of the center angle and circumferential angle of the arc AB (ARC) Given that the chord AB in ⊙ o is equal to the radius, find the degrees of the center angle and circumferential angle of the chord AB (chord)

⊙ o middle chord AB is equal to the radius, the center angle of arc AB is 60 °, and the circumferential angle is 30 °
⊙ the chord AB in O is equal to the radius, the center angle of the chord AB is 60 °, and the circumferential angle is 30 ° or 150 °

In a circle, the angle between the chord equal to the radius and the center of the circle is (), and the angle between the chord and the inferior arc is () Detailed explanation required

Because the radius of the circle is equal and the chord is equal to the radius, the triangle surrounded by the two radii and the chord is an equilateral triangle, so the center angle of the circle is 60 degrees
Because the center angle of the circle is 60 degrees, the circumferential angle opposite to the same arc is 30 degrees, and because the quadrangles in the circle are diagonally complementary, the circumferential angle contained in the inferior arc is 150 degrees

If the length of a string is equal to the radius of its circle, what is the degree of the center angle of the circle opposite to the string and what is the circumference angle

0

If the length of one string of a circle is equal to the radius, the radian number of the circumferential angle of the string is () A. 1 B. 1 two C. π 6 or 5 π six D. π 3 or 5 π three

Let the circumferential angle of the chord be α, Then its center angle is 2 α Or 2 π - 2 α,
Because the chord length is equal to the radius, you get 2 α= π
3 or 2 π - 2 α= π
3,
Solution α= π
6 or α= 5π
6.
Therefore, C