6. Circles and Conics

Circle Basics — Quiz

Test your understanding of circle basics with 5 practice questions.

Practice Questions

Question 1

A sector with radius 5 cm has a perimeter of $5\pi+10$ cm. What is its central angle in radians?

Question 2

A sector has an area of $18\pi\,$cm^2 and an arc length of $6\pi\,$cm. Determine its radius and central angle (in radians).

Question 3

In a circle, a chord of length 12 cm subtends a central angle of $120^\circ$. What is the circle’s radius?

Question 4

For a circle of radius 5 cm and central angle $150^\circ$, which is longer?

Question 5

An arc of length $5\pi$ cm corresponds to a central angle in a circle of radius 10 cm. What is this angle in degrees?