Podcast
Questions and Answers
What is the diameter of the circle if a chord is 32 cm long and located 8 cm away from the center?
What is the diameter of the circle if a chord is 32 cm long and located 8 cm away from the center?
If the diameter of a circle is 26 cm and the length of a chord is 24 cm, what is the distance of the chord from the center?
If the diameter of a circle is 26 cm and the length of a chord is 24 cm, what is the distance of the chord from the center?
For a circle with a radius of 34 cm and a chord distance of 30 cm from the center, what is the length of the chord?
For a circle with a radius of 34 cm and a chord distance of 30 cm from the center, what is the length of the chord?
In a circle with a radius of 41 units, if a chord PQ is 80 units long, what is the distance of the chord from the center?
In a circle with a radius of 41 units, if a chord PQ is 80 units long, what is the distance of the chord from the center?
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If chord AB of a larger circle with center O intersects a smaller circle at points P and Q, what relation is true?
If chord AB of a larger circle with center O intersects a smaller circle at points P and Q, what relation is true?
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When a diameter of a circle bisects two chords, what can be said about these chords?
When a diameter of a circle bisects two chords, what can be said about these chords?
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Study Notes
Circle Theorems
- The length of the chord is twice the distance from the centre of the circle (PD = CP = 16, CD = CP + PD = 16 + 16 = 32)
- If the length of the chord is 12 cm and the distance from the centre of the circle is 8 cm, the diameter of the circle can be found
Practice Set 6.1
- In a circle, if the diameter is 26 cm and the length of the chord is 24 cm, the distance of the chord from the centre can be found
- If the radius of a circle is 34 cm and the distance of the chord from the centre is 30 cm, the length of the chord can be found
- If the radius of a circle is 41 units and the length of a chord is 80 units, the distance of the chord from the centre can be found
Activity I
- If a diameter of a circle bisects two chords of the circle, then those two chords are parallel to each other
- To prove this, draw circles of convenient radii, draw two equal chords in each circle, and draw perpendiculars to each chord from the centre
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Description
Test your knowledge on calculating chord length, distance of chord from center, and diameter of a circle based on given information. Practice solving problems related to circle geometry.
