Chord, its distance from the centre and the radius: r^2 = d^2 + (c/2)^2
This type of question, asked 5 times: CDS 2 2016, CDS 1 2022, CDS 2 2023, CDS 2 2025, CDS 2 2026. All 5 questions below, oldest first.
Try each one first, then open its answer.
Question 1
CDS 2 2016
48In a circle of radius 3 units, a diameter intersects a chord of length 2 units perpendicularly at . If , then what is the ratio of to ?Tap an option to check your answer.
Question 2
CDS 1 2022
62A circle of radius 25 cm has a chord of length 48 cm. What is the length of the perpendicular drawn from the centre of the circle to the chord?Tap an option to check your answer.
Question 3
CDS 2 2023
62The arch of a bridge is in the form of an arc of a circle. If the span of the bridge is 40 m and height in the middle is 8 m, then what is the radius of curvature of the bridge ?Tap an option to check your answer.
Question 4
CDS 2 2025
65In a circle of radius 14 cm, is a shorter arc and is the midpoint of the arc. Let be the midpoint of the chord and cm. What is the length of the chord ?Tap an option to check your answer.
Question 5
CDS 2 2026
57The chord of a circle is 20 cm and the height of the minor segment is 5 cm. What is the diameter of the circle ?Tap an option to check your answer.