Radians (intro) Knowledge-Based Download PDF

Questions

1. 1.

   In a circle of radius $r$, what is the measure in radians of a central angle that intercepts an arc equal in length to the circle's diameter?

   • A) $1\text{ radian}$
   • B) $2\text{ radians}$
   • C) $\pi\text{ radians}$
   • D) $2\pi\text{ radians}$
2. 2.

   A circle has a radius of 12 cm. What is the length of the arc intercepted by a central angle measuring $\frac{3\pi}{4}$ radians?

   • A) $6\pi$ cm
   • B) $8\pi$ cm
   • C) $9\pi$ cm
   • D) $16\pi$ cm
3. 3.

   What fraction of a circle's circumference is intercepted by a central angle measuring $\frac{2\pi}{3}$ radians?

   • A) $\frac{1}{6}$
   • B) $\frac{1}{4}$
   • C) $\frac{1}{3}$
   • D) $\frac{2}{3}$
4. 4.

   What is the radian measure equivalent to an angle of $300^\circ$?

   • A) $\frac{5\pi}{6}$ radians
   • B) $\frac{5\pi}{3}$ radians
   • C) $\frac{7\pi}{4}$ radians
   • D) $\frac{11\pi}{6}$ radians
5. 5.

   In a circle with a radius of 6 cm, a central angle intercepts an arc of length 15 cm. What is the measure of this central angle in radians?

   • A) 2.5 radians
   • B) 0.4 radians
   • C) 9.0 radians
   • D) 90.0 radians