Assessment: Circles
Answer every question, then submit to see your score and which topics to review.
Part A — Concept Questions
How does an inscribed angle relate to the central angle subtending the same arc?
EasyAn angle is inscribed in a semicircle. What is its measure?
EasyPart B — Formula & Application
In cyclic quadrilateral WXYZ, ∠W = 112°. Find ∠Y.
MediumA circle has radius 17. A chord is 8 units from the centre. Find the chord's length.
MediumPart C — Problem Solving
Chords intersect at P. PA=10, PC=6, PB=5. Find PD.
HardTwo inscribed angles subtend the same arc. One measures 42°. What is the other?
MediumPart D — Real-Life Application
A carpenter draws a circle using a beam as diameter, then marks any point C on the circle. Why does connecting C to both beam ends always form a right angle?
MediumA gear designer confirms two slot openings (chords) on a circular gear are the same distance from the centre. What can be concluded?
MediumPart E — Challenge
A chord of length 24 is drawn in a circle of radius 13. Find the chord's distance from the centre.
HardWhy must opposite angles of a cyclic quadrilateral sum to 180°?
Hard0/10 answered