Task #1:
Learning about Radians
Visit The Radian to learn about this new form of measuring angles and work alone or with a partner (preferred) to answer the following questions. (There is a printable worksheet of the questions below)
1) What is a radian?
2) Will 1 radian be the same measure no matter what size circle you have? What’s your reasoning? Your evidence?
3) How many degrees are in one revolution of a circle? How many radians are in one revolution of a circle?
4) If a circle has a radius of 3cm and an angle is formed that has an arc length of 6cm, what is the measure of the angle in radians? What if the arc length is 1 cm, what’s the measure of the angle formed in radians? Can you form an equation to find the number of radians given the arc length and radius of a circle? Let q = number of radians, s = arc length , and r = radius.
2) Will 1 radian be the same measure no matter what size circle you have? What’s your reasoning? Your evidence?
3) How many degrees are in one revolution of a circle? How many radians are in one revolution of a circle?
4) If a circle has a radius of 3cm and an angle is formed that has an arc length of 6cm, what is the measure of the angle in radians? What if the arc length is 1 cm, what’s the measure of the angle formed in radians? Can you form an equation to find the number of radians given the arc length and radius of a circle? Let q = number of radians, s = arc length , and r = radius.
| task_1_worksheet.doc |