3. Geometry and Trigonometry

Arcs And Sectors Using Radians — Quiz

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

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Practice Questions

Question 1

What is the radian measure of a central angle that subtends an arc with length equal to the radius of the circle?

Question 2

A circle has radius $5$ cm. What is the arc length of a sector with central angle $2$ radians?

Question 3

A circle has radius $4$ cm and central angle $\frac{\pi}{3}$. What is the area of the sector?

Question 4

Which formula gives the area of a sector when the central angle is measured in radians?

Question 5

A sector has radius $6$ cm and area $18\pi$ cm^2. What is the central angle in radians?