CBSE|Angle Subtended by an Arc of a Circle#!#NCERT Discussion

The angle subtended by an arc of a circle at the centre is double the angle subtended by it any point on the remaining part of the circle.

Theorem 2: The no.of Radians in an angle subtended by an arc of a circle at the centre = arc/radius

The radius of a circle is 14cms. The angle subtended by an arc of the circle at the centre is 45^(@) . Find the length of the arc.

i) The radius of a circle is 40cm. Find the angle subtend by an arc of 22 cm at the center of circle in degrees.

Find the angle subtended at the centre of a circle of radius 'a' by an arc of length (a pi/4)

Assertion : Radian is the unit of distance. Reason : One radian is the angle subtended at the centre of a circle by an arc equal in length to the radius of the circle.

Theorem 10.8 : The angle subtended by an arc at the centre is double the angle subtended by it at any point on the remaining part of the circle.