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18 Nov 2021, 09:29
Kudos
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
53% (01:33) correct
47%
(01:30)
wrong
based on 30
sessions
History
Date
Time
Result
Not Attempted Yet
A chord of a circle is equal to its radius. Find the angle subtended by this chord at a point on the major arc.
A. 45
B. 22.5
C. 15
D. 20
E. 30
(Source: Cuemath)
A. 45
B. 22.5
C. 15
D. 20
E. 30
(Source: Cuemath)
18 Nov 2021, 09:33
Kudos
Bookmarks
The length of the chord equals to the radius of the circle.
If we draw two lines from the centre of the circle to either end of the chords, we get two more radii, forming an equilateral triangle with the chord.
Therefore, the angle subtended by the chord (or the minor arc created by the chord) at the centre is 60 degrees.
So, the angle subtended by the chord on any point on the major arc is 30 degrees.
Answer is E.
If we draw two lines from the centre of the circle to either end of the chords, we get two more radii, forming an equilateral triangle with the chord.
Therefore, the angle subtended by the chord (or the minor arc created by the chord) at the centre is 60 degrees.
So, the angle subtended by the chord on any point on the major arc is 30 degrees.
Answer is E.
