6 Questions
What is the diameter of the circle if a chord is 32 cm long and located 8 cm away from the center?
24 cm
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?
20 cm
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?
36 cm
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?
42 units
If chord AB of a larger circle with center O intersects a smaller circle at points P and Q, what relation is true?
$AP = BQ$
When a diameter of a circle bisects two chords, what can be said about these chords?
They are parallel to each other
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
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.
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