If `alpha_1 and alpha_2` be the circular measures of the angles subtended by the arcs of lengths `S_1, S_2` at the centres of the circles whose radii are `a_1, a_2` respectively, then show that the angle subtended at the centre by the arc of length `(s_1 +s_2)` of a circle whose radius is `1/n(a_1 alpha_1+a_2alpha_2)` will be `n` radians.

If alpha_1 and alpha_2 be the circular measure of the angles subtended by the arcs of lengths s_1,s_2 at the centres of the circles whose radii are a_1,a_2 respectively , then show that the angle subtended at the centre by the arc of length (s_1+s_2) of a circle whose radius is 1/n(a_1alpha_1+a_2alpha_2) will be n radians.

If theta_1,theta_2, theta_3 radians be the angles subtended by the arcs of lengths l_1,l_2,l_3 at the centres of the circle whose radii are r_1,r_2,r_3 respectively then show that the angle subtended at the centre by the arc of length (l_1+l_2+l_3) of a circle whose radius is (r_1+r_2+r_3) will be (r_1theta_1+r_2theta_2+r_3theta_3)/(r_1+r_2+r_3) radian.

The length of radius of a circle 14 cm. Determine the circular value of angle subtended by an arc of 11 cm length at the centre of this circle.

Find the radians and degrees, the angle subtended at the centre by an arc whose length is 15cms, if the radius of the circle is 25cms.

The radian measure of the angle, subtends at the centre of a circle by an arc whose length is twice the diameter of the circle, is

If the arcs of the same length in two circles of radii r_1 and r_2 respectively subtend angle pi/3 and 120^@ at the centre ,then the value of (r_1+r_2)/(r_1-r_2) will be

In a circle with radius 3 cm an arc of length 1 cm subtends an angle of measure ……… at the centre of the circle.

The length of a minor arc is 2/9 of the circumference of the circle. Write the measure of the angle (in degrees) subtended by the arc at the centre of 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.