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.

Theorem:-5(i) The degree measure of an arc or angle subtended by an arc at the centre is double the angle subtended by it at any point of alternate segment.(ii) Angle in the same segment of a circle are equal (iii) The angle in the semi circle is right angle.

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.

The radius of a circle is 50 cm. Find the angle subtends by an arc of 22 cm length at the centerof the circle.

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.

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.

Find,in terms of pi, the length of the arc that subtends an angle of 30o at the centre of a circle of radius 4cm.

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.