Sector area Knowledge-Based Download PDF

Questions

1. 1.

   In a circle, a sector with a central angle of $80^\circ$ has an area of $32\pi\text{ cm}^2$. What is the area of a sector in the same circle with a central angle of $135^\circ$?

   • A) $54\pi\text{ cm}^2$
   • B) $48\pi\text{ cm}^2$
   • C) $60\pi\text{ cm}^2$
   • D) $72\pi\text{ cm}^2$
2. 2.

   A sector of a circle with a radius of 14 cm has an arc length of $6\pi\text{ cm}$. What is the area of this sector?

   • A) $21\pi\text{ cm}^2$
   • B) $42\pi\text{ cm}^2$
   • C) $63\pi\text{ cm}^2$
   • D) $84\pi\text{ cm}^2$
3. 3.

   A sector of a circle with a central angle of $60^\circ$ has an area of $54\pi\text{ cm}^2$. What is the radius of the circle?

   • A) 18 cm
   • B) 9 cm
   • C) 27 cm
   • D) 36 cm
4. 4.

   A circle has a radius of 10 cm, and the area of one of its sectors is $35\pi\text{ cm}^2$. What is the central angle of this sector?

   • A) $105^\circ$
   • B) $112^\circ$
   • C) $120^\circ$
   • D) $126^\circ$
5. 5.

   A circle has a radius of 12 cm. What is the area of a sector in this circle formed by a central angle of $150^\circ$?

   • A) $60\pi\text{ cm}^2$
   • B) $120\pi\text{ cm}^2$
   • C) $30\pi\text{ cm}^2$
   • D) $10\pi\text{ cm}^2$