Loading Lesson Content...

Sectors and Area

This worksheet covers Sectors and Area, which is part of the Circles Destroyer module in the SAT Math Destroyer Crash Course course. Practice problems are designed to strengthen key concepts and build confidence.

More in Circles Destroyer

*View full SAT Math Destroyer Crash Course course with step by step lessons and online quiz modules.*

Related Lessons:

Want to reach top 5% in SAT Math?

Learn shortcut methods and time-saving strategies with our SAT Math Destroyer Crash Course.

View Destroyer Course →

Sectors and Area

Circles Destroyer • SAT Math Destroyer Crash Course

Set 1 — Mastery

A circle has a radius of $r$ . What is the area of a sector with a central angle of $\theta$ radians?

$\frac{1}{2}r^{2}\theta$

$r^{2}\theta$

$\frac{1}{3}r^{2}\theta$

$\frac{\theta}{360} \cdot \pi r^{2}$

If the area of a sector is $\frac{25\pi}{3}$ square units and the radius is $5$ units, what is the measure of the central angle $\theta$ in radians?

$\frac{1}{3}$

$\frac{2}{3}$

$\frac{5}{3}$

$\frac{5}{2}$

A sector of a circle has a radius of $10$ units and a central angle of $60$ degrees. What is the area of the sector?

$\frac{100\pi}{3}$

$\frac{50\pi}{3}$

$\frac{100\pi}{6}$

$\frac{10\pi}{3}$

What is the area of a circle with a radius of $r = 8$ units?

$64\pi$

$16\pi$

$36\pi$

$32\pi$

If a sector has an area of $25$ square units and a radius of $5$ units, what is the central angle $\theta$ in degrees?

$60$

$90$

$120$

$180$

A circular garden has a radius of $7$ meters. If a sector of the garden has a central angle of $45$ degrees, what is the area of the sector?

$\frac{49\pi}{4}$

$\frac{49\pi}{6}$

$\frac{49\pi}{8}$

$\frac{49\pi}{12}$

A sector of a circle has a radius of $r = 6$ and a central angle of $\frac{\pi}{3}$ radians. What is the area of the sector?

$6\pi$

$12\pi$

$6$

$12$

If a circle has a diameter of $10$ units, what is the area of a sector with a central angle of $90$ degrees?

$25\pi$

$20\pi$

$15\pi$

$10\pi$

A circular pizza has a radius of $12$ inches. If you cut a slice with a central angle of $30$ degrees, what is the area of that slice?

$24\pi$

$8\pi$

$12\pi$

$6\pi$

10.

What is the area of a sector with a radius of $4$ units and a central angle of $\frac{\pi}{2}$ radians?

$8$

$16$

$4$

$2$

Feel free to use these worksheets in your classroom or share the link with students and colleagues!

Other Sets

Show answer choices

Set 1Mastery Set 2Mastery Set 3Mastery Custom Worksheet

Other Sets

Show answer choices

Set 1Mastery Set 2Mastery Set 3Mastery Custom Worksheet

Other Sets

Show answer choices

Set 1Mastery Set 2Mastery Set 3Mastery Custom Worksheet

Other Sets

Show answer choices

Set 1Mastery Set 2Mastery Set 3Mastery Custom Worksheet