Area of the minor or major segment cut off by a chord subtending a central angle
This type of question, asked 5 times: CDS 2 2020, CDS 2 2021, CDS 2 2022, CDS 1 2024, CDS 2 2026. All 5 questions below, oldest first.
Try each one first, then open its answer.
Question 1
CDS 2 2020
86What is the area of a segment of a circle of radius r subtending an angle at the centre ?Tap an option to check your answer.
Question 2 (case study, 2 parts)
CDS 2 2021
Consider the following for the next two (02) items that follow : A chord of a circle of radius 2.1 cm subtends an angle of at the centre. (take and )79What is the approximate area of minor segment of the circle ?Tap an option to check your answer.
80What is the approximate area of major segment of the circle ?Tap an option to check your answer.
Question 3 (case study, 2 parts)
CDS 2 2022
Consider the following for the next two (02) items that follow : A chord of length of a circle makes an angle at the centre of the circle.74What is the area of the minor segment ?Tap an option to check your answer.
75What is the area of the major segment ?Tap an option to check your answer.
Question 4
CDS 1 2024
39The chord AB of a circle with centre at O is times the height of the minor segment. If P is the area of the sector OAB and Q is the area of the minor segment of the circle, then what is the approximate value of ? (Take and )Tap an option to check your answer.
Question 5
CDS 2 2026
53A chord of a circle makes an angle of at the centre of the circle. If the area of the major segment is k times the area of the minor segment, then what is the value of k ? (Take )Tap an option to check your answer.