The length of a chord of a circle is equal to the radius of the circle. The angle which this chord subtends in the major segment of the circle is equal to:?

30°
45°
60°
120°

LohaHridoy

5 views

2025-01-04 04:42

1 Answers

AhmedNazir

Option 1 : 30°

The figure for the question will be as shown.

[ alt="19" src="//storage.googleapis.com/tb-img/production/18/03/19.PNG" style="height:175px; width:177px">

From figure and given information,

OA = OB = AB = Radius of circle

⇒ ΔAOB is an equilateral triangle.

⇒ Angle subtended at the center = 60°

∴ Angle subtended at the major segment = (1/2) × (angle subtended at the center) = (1/2) × 60° = 30°

5 views Answered 2022-09-04 04:29

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