Equal chords and central angle

Generate an educational illustration showing a circle with various chords, central angles, and arc measures labeled, in a colorful and visually engaging style.

Mastering Circle Chords Quiz

Test your understanding of the relationships between chords and angles in circles with this engaging quiz. Challenge yourself with a series of questions that cover key concepts surrounding chords, central angles, and their properties.

This quiz includes:

  • 7 thought-provoking questions
  • Multiple choice format
  • Instant feedback on your answers
7 Questions2 MinutesCreated by AngleWizard42
Two chords of a circle are unequal. What do you think about the angle subtended by them at the centre?
The angles are equal
Longer chord subtend larger angle at the centre
Smaller chord subtend larger angle at the centre
Cannot conclude any answer.
Two chords of a circle subtend equal angle at the centre. The length of the chords are
Equal
Not equal
Cannot say
Equal to the radius of the circle
Length of the chord of a circle is equal to the radius of the circle. What is the central angle subtended by the chord at the centre of t he circle?
90 degrees
45 degrees
60 degrees
Can not find with the given information
Chord AB of a circle subtend angle AOB at the centre. If measure of angle OAB = 40 degrees, find the measure of angle AOB.
100 degrees
80 degrees
140 degrees
40 degrees
If two chords AB and CD subtend equal angles at the centre of the circle. If AB = (2x+1) cm and CD = 59 cm, find the value of x
58cm
30 cm
60 cm
29 cm
AB and CD are two chords of a circle with centre O. If angle AOB = angle COD and AB = (3x - 7) cm and CD = (2x+9) cm, find the value of x.
15 cm
2 cm
16 cm
16/5 cm
PQ and RS are two chords of cicle with centre O. If PQ = 17 cm, RS = 20 cm and angle POQ = 90 degrees, then the angle ROS is ...
A right angle
An obtuse angle
An acute angle
A reflex angle
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