Radian measure, arc length and sector area Quiz

1. Express $150^{\circ}$ in radians.

• A. $\frac{5\pi}{3}$
• B. $\frac{\pi}{6}$
• C. $\frac{5\pi}{6}$
• D. $150\pi$

2. A sector has radius $5$ cm and angle $0.8$ radians. Find the arc length.

• A. $4$ cm
• B. $6.25$ cm
• C. $0.16$ cm
• D. $13$ cm

3. A sector has radius $6$ cm and angle $1.5$ radians. Find its area.

• A. $54$ cm$^2$
• B. $27$ cm$^2$
• C. $9$ cm$^2$
• D. $13.5$ cm$^2$

4. A sector has radius $4$ cm and angle $2.5$ radians. Find its perimeter.

• A. $10$ cm
• B. $14$ cm
• C. $26$ cm
• D. $18$ cm

5. A sector of radius $4$ cm has area $24$ cm$^2$. Find its angle in radians.

• A. $1.5$
• B. $6$
• C. $3$
• D. $12$