Determining the quadrant that 2 radians is in - Math answers for free - math prep

The video tutorial explains the concept of radians, emphasizing their measurement as the distance of the radius from the center of a circle. It discusses the positive and negative directions of radians, with counterclockwise being positive and clockwise being negative. The tutorial demonstrates how to determine which quadrant a given radian measure falls into, specifically focusing on negative radians. It also covers the estimation of radian lengths around a circle, using practical examples to illustrate the concept. The tutorial aims to clarify the understanding of radians and their application in determining angles and quadrants.

What is a radian in terms of a circle?

• The diameter of the circle

• The distance from the center to the circumference

• The circumference of the circle

• The area of the circle

In which direction is a positive radian measured?

• Horizontally

• Vertically

• Clockwise

• Counterclockwise

Which quadrant does -2 radians fall into?

• Quadrant 3

• Quadrant 4

• Quadrant 2

• Quadrant 1

What is the direction of negative radians?

• Counterclockwise

• Clockwise

• Horizontally

• Vertically

How can you estimate the position of a radian on a circle?

• By wrapping the radius around the circle

• By measuring the circumference

• By measuring the diameter

• By calculating the area