Math 3 Unit 6 Lesson 5

Front

What is the relationship between degrees and radians?

Back

Degrees and radians are two units for measuring angles. To convert degrees to radians, use the formula: radians = degrees × (π/180).

Front

What is the radian measure of a full circle?

Back

A full circle is 2π radians.

Front

How do you convert radians to degrees?

Back

To convert radians to degrees, use the formula: degrees = radians × (180/π).

Front

What is the formula for arc length in a circle?

Back

Arc length (s) = radius (r) × central angle (θ in radians).

Front

If the radius of a circle is 6 cm and the central angle is 3 radians, what is the arc length?

Back

Arc length = 6 cm × 3 rad = 18 cm.

Front

Back

Front

Convert 100 degrees to radians.

Back

Front

What is the formula to find the central angle in radians given the arc length and radius?

Back

Central angle (θ) = Arc length (s) / Radius (r).

Front

If the arc length is 44 cm and the radius is 7 cm, what is the central angle in radians?

Back

Central angle = 44 cm / 7 cm = 6.2857 radians.

Front

What is the radian measure of 510 degrees?

Back