Question

For introducing radian measure of an angle, a good mathematics teacher will draw a circle and divide it into:

• A. 360 equal parts
• B. 180 equal parts
• C. arcs of length equal to its diameter
• D. arcs of length equal to its radius

Answer 1

Answer:

D. arcs of length equal to its radius

Yes, for introducing radian measure of an angle, a good mathematics teacher will draw a circle and divide it into arcs of length equal to its radius.

In the radian system, the angle is measured based on the length of the arc subtended by the angle. One radian is the angle subtended at the center of a circle by an arc whose length is equal to the radius of the circle. This is a natural and intuitive way to define the radian measure, which links angular measurement directly to the geometry of the circle. By dividing the circle into arcs of length equal to the radius, the teacher helps students visualize and understand the concept of radians as a unit of angular measure.