Multiple choice

The length of the radius of a circle is one-half the length of an arc of the circle. How large is the central angle that intercepts that arc?

  1. 60o

  2. 120o

  3. 1R

  4. 2R

  5. πR

Reveal answer Fill a bubble to check yourself
D Correct answer
AI explanation

The relationship between arc length (s), radius (r), and central angle in radians (θ) is s = r * θ. The problem states s = 2r, so substituting s gives 2r = r * θ. Dividing by r yields θ = 2 radians.