Radius and distance of a chord from the centre given: length of the chord

The same question, asked 7 times: 10 Sep 2024 S2*, 19 Sep 2024 S2*, 15 Sep 2025 S2*, 18 Sep 2025 S3*, 21 Sep 2025 S2*, 23 Sep 2025 S2*, 24 Sep 2025 S1. Every wording below, oldest first.

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Question 1
10 Sep 2024 S2
73 $5\sqrt{13}$
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Question 2
19 Sep 2024 S2
66 $The radius of the circle is 10 cm and the perpendicular distance from the chord to the centre is 6 cm. The length of the chord is:$
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Question 3
15 Sep 2025 S2
73 $Two chords, AB and CD, are equal in length and are at a distance of 10 cm from the center of a circle. If the radius is 26 cm, what is the length of AB?$
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Question 4
18 Sep 2025 S3
71 $In a circle having a radius 10 cm, a chord is 6 cm away from the center. Find the length of the chord.$
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Question 5
21 Sep 2025 S2
72 $The line segment from the center of a circle to the midpoint of a chord is 10 cm long. If the radius is 26 cm, what is the length of the chord?$
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Question 6
23 Sep 2025 S2
74 $A chord is drawn in a circle with a radius of 15 cm. If the distance of the chord from the center is 9 cm, what is the length of the chord?$
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Question 7
24 Sep 2025 S1
74 $A circle has a radius of 13 cm. A chord is drawn at a distance of 5 cm from the center. What is the length of the chord?$
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Radius and distance of a chord from the centre given: length of the chord

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