Let be the radius of the circle. What is the angle subtended by an arc of…
2014
Let be the radius of the circle. What is the angle subtended by an arc of length at the center of the circle?
- A.
1 degree
- B.
1 radian
- C.
90 degrees
- D.
π radians
Show answer & explanation
Correct answer: B
The angle θ subtended by an arc of length s at the center of a circle with radius r is defined as θ = s/r. Although variables are missing in the text, the context implies the arc length equals the radius (s = r). Therefore, θ = r/r = 1. The angle is 1 radian.