3.4 Arc length and sector area Quiz

1. Find the arc length of a sector with radius 10 cm and angle $45^\circ$.

• A. $15.7$ cm
• B. $78.5$ cm
• C. $7.85$ cm
• D. $39.3$ cm

2. Find the area of a sector with radius 10 cm and angle $120^\circ$.

• A. $105$ cm$^2$
• B. $20.9$ cm$^2$
• C. $209$ cm$^2$
• D. $314$ cm$^2$

3. A sector of radius 9 cm has an arc length of 12 cm. Find the angle at the centre.

• A. $38.2^\circ$
• B. $76.4^\circ$
• C. $152.8^\circ$
• D. $0.212^\circ$

4. A sector with angle $90^\circ$ has area $100$ cm$^2$. Find its radius.

• A. $5.64$ cm
• B. $31.8$ cm
• C. $22.6$ cm
• D. $11.3$ cm

5. Find the perimeter of a sector with radius 6 cm and angle $60^\circ$.

• A. $6.28$ cm
• B. $18.3$ cm
• C. $12.0$ cm
• D. $24.0$ cm