Sector area Knowledge-Based Practice

Questions

1. 1.

   The perimeter of a sector of a circle with a radius of 9 cm is $18 + 6\pi\text{ cm}$. What is the area of this sector?

   • A) $18\pi\text{ cm}^2$
   • B) $54\pi\text{ cm}^2$
   • C) $81\pi\text{ cm}^2$
   • D) $27\pi\text{ cm}^2$
2. 2.

   A circle has a radius of 8 cm, and the arc length of one of its sectors is $6\pi$ cm. What is the area of this sector?

   • A) $24\pi\text{ cm}^2$
   • B) $48\pi\text{ cm}^2$
   • C) $16\pi\text{ cm}^2$
   • D) $12\pi\text{ cm}^2$
3. 3.

   A sector of a circle with a central angle of $40^\circ$ has an area of $16\pi\text{ cm}^2$. What is the radius of the circle?

   • A) 6 cm
   • B) 8 cm
   • C) 18 cm
   • D) 12 cm
4. 4.

   A sector of a circle with a radius of 6 cm has an area of $15\pi\text{ cm}^2$. What is the measure of the central angle of this sector?

   • A) $75^\circ$
   • B) $120^\circ$
   • C) $150^\circ$
   • D) $165^\circ$
5. 5.

   A circle has a radius of 10 cm. What is the area of a sector of this circle with a central angle of 72°?

   • A) $10\pi$ cm²
   • B) $14\pi$ cm²
   • C) $20\pi$ cm²
   • D) $40\pi$ cm²

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