3. Geometry and Trigonometry

Arcs And Sectors — Quiz

Test your understanding of arcs and sectors with 5 practice questions.

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Practice Questions

Question 1

What is the formula for the length of an arc when the central angle is measured in radians?

Question 2

A circle has radius $6$ and a central angle of $\frac{\pi}{3}$. What is the arc length?

Question 3

What is the formula for the area of a sector when the central angle is measured in radians?

Question 4

A sector has radius $4$ and angle $\frac{\pi}{2}$. What is its area?

Question 5

A full circle has angle measure $2\pi$ in radians. What fraction of the circle is a sector with angle $\frac{pi}{2}$?