Geometry Practice Test 4

Question : 40 of 40

Marks: +1, -0

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°
90°

Validate

Solution:

In ΔAOB,
OA = OB = AB = r
⇒ ΔAOB equilateral triangle

each engle = 60°
⇒ ∠AOB = 60°
∠ACB =

1/2

∠AOB (angle subtends from an arc to centre is double the angle subtends to the major segment)
∠ACB =

1/2 × 60

= 30°

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