In measuring angles, there are several possible units used, but the most common units are degrees and radians.

**Introduction
to Degrees and Radians**

In
measuring angles, there are several possible units used, but the most common
units are degrees and radians. Radians are used in measuring area, volume, and
circumference of circles and surface area of spheres.

**Radian **describes the planar angle** **subtended by a circular arc at the
center of a circle. It is defined as the length of the arc divided by the
radius of the arc. One radian is the angle subtended at the center of a circle
by an arc that is equal in length to the radius of the circle. This is shown in
the Figure 2.44.

Degree
is the unit of measurement which is used to determine the size of an angle.
When an angle goes all the way around in a circle, the total angle covered is
equivalent to 360°. Thus, a circle has 360°. In terms of radians, the full
circle has 2π radian.

Calculate the angle *θ* subtended by the two adjacent wooden spokes of a bullock cart wheel is shown in the figure. Express the angle in both radian and degree.

The full wheel subtends 2π radians at the center of the wheel. The wheel is divided into 12 parts (arcs).

The angle subtended by two adjacent wooden spokes is 30 degree at the center.

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11th Physics : Kinematics : Introduction to Degrees and Radians | with Solved Example Problems

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