3. Geometry and Trigonometry

Arc Length And Sector Area — Quiz

Test your understanding of arc length and sector area with 5 practice questions.

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Practice Questions

Question 1

What is the formula for the arc length of a sector when the radius is $r$ and the central angle is $\theta$ measured in radians?

Question 2

A sector has radius $6$ cm and central angle $\frac{\pi}{3}$ radians. What is its arc length?

Question 3

What is the formula for the area of a sector when the radius is $r$ and the central angle is $\theta$ measured in radians?

Question 4

A sector has radius $8$ m and central angle $\frac{\pi}{4}$ radians. What is its area?

Question 5

A circle has radius $5$ cm. What is the angle in radians of a sector whose arc length is $10$ cm?