6. Circles and Conics
Angles In Circles — Quiz
Test your understanding of angles in circles with 5 practice questions.
Practice Questions
Question 1
If a central angle and an inscribed angle subtend the same arc, and the central angle measures $80^\circ$, what is the measure of the inscribed angle?
Question 2
A tangent segment and a secant segment are drawn to a circle from an external point. If the tangent segment is $6$ units long and the entire secant segment is $9$ units long, what is the length of the external part of the secant segment?
Question 3
Two chords intersect inside a circle. The segments of one chord are $2$ and $8$. If the segments of the other chord are $x$ and $4$, what is the value of $x$?
Question 4
What is the measure of the angle formed by two tangents drawn to a circle from an external point if the minor intercepted arc is $100^\circ$?
Question 5
If an angle is inscribed in a circle and intercepts a semicircle, what is the measure of the inscribed angle?