Radians (intro) Knowledge-Based Practice

Questions

1. 1.

   In any circle, a central angle intercepts an arc whose length is equal to the circle's diameter. What is the measure of this central angle in radians?

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

   What is the degree measure of an angle measuring $\frac{5\pi}{6}$ radians?

   • A) $150^\circ$
   • B) $120^\circ$
   • C) $210^\circ$
   • D) $300^\circ$
3. 3.

   What fraction of a circle's circumference is intercepted by a central angle measuring $\frac{3\pi}{5}$ radians?

   • A) $\frac{3}{5}$
   • B) $\frac{3}{10}$
   • C) $\frac{3}{20}$
   • D) $\frac{1}{5}$
4. 4.

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

   • A) 0.4 radians
   • B) 1.5 radians
   • C) 2.5 radians
   • D) 9.0 radians
5. 5.

   What is the radian measure of an angle of $135^\circ$?

   • A) $\frac{2\pi}{3}$
   • B) $\frac{3\pi}{4}$
   • C) $\frac{5\pi}{6}$
   • D) $\frac{5\pi}{4}$

Answers and step-by-step solutions appear after you finish the test.