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Angle Subtended by an Arc of a Circle on the Circle and at the Center

In a circle a...

Question

In a circle angles in the major segment are called

A

Obtuse angles

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B

Acute angles

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C

Right angles

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D

Complete angle

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Solution

The correct option is C Acute angles
In a circle angles in the major segment are called Acute angle

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Q. Draw a circle of radius 4 cm and construct a chord of 6 cm length in it. Draw two angles in major segment and two angles in minor segment. Verify that angles in major segment are acute angles and angles in minor segment are obtuse angles by measuring them.

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(1) An angle in a semi-circular region is an acute angle.
(2) The angle in the minor segment of a circle is a right angle.
(3) The angle in the major segment of a circle is an obtuse angle.
(4) Angles in the same segment of a circle are congruent.

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Q. Angles in the same segment of a circle are

In a circle of radius 20 cm, a chord subtends a right angle at the centre. Find the area of the major segment: (use $π$ = $\frac{22}{7}$ )

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