Question

•Relation between Angle at centre and angle at the circumference The angle subtended at the centre of a circle by an arc is double the angle subtended on the circumference by the same arc​

Answer 1

Arcs and Subtended Angles

In a circle, there are various angles that can be formed joining the endpoints of arcs and those angles are termed subtended angles. There are different categories of angles formed by these arcs, for example, angles in the same segment, angles in a semi-circle, angles at the circumference, etc. Let's learn about it in detail in this lesson.

How do you Find the Angle Subtended by an Arc in Circle?

An arc of a circle is any part of the circumference. The angle subtended by an arc at any point is the angle formed between the two line segments joining that point to the end-points of the arc. In the following figure, an arc of the circle shown subtends an angle α at a point on the circumference, and an angle β at the center O.

Angle Subtended by an Arc

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Angle Subtended by an Arc

We are interested in the relation between the angle which a given arc subtends anywhere on the circumference and the angle which that arc subtends at the circle’s center. The relation between them is simple and extremely important.

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Answer 2

Answer:

We are interested in the relation between the angle which a given arc subtends anywhere on the circumference and the angle which that arc subtends at the circle’s center. The relation between them is simple and extremely important.

Step-by-step explanation:

Step-by-step explanation:

In one day, 8 men will be able to type 2 books. Therefore, 8 men will take 1 day to type 2 books.In a circle, there are various angles that can be formed joining the endpoints of arcs and those angles are termed subtended angles. There are different categories of angles formed by these arcs, for example, angles in the same segment, angles in a semi-circle, angles at the circumference, etc. Let's learn about it in detail in this lesson.

How do you Find the Angle Subtended by an Arc in Circle?

An arc of a circle is any part of the circumference. The angle subtended by an arc at any point is the angle formed between the two line segments joining that point to the end-points of the arc. In the following figure, an arc of the circle shown subtends an angle α at a point on the circumference, and an angle β at the center O.

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