Radians, Degrees & Arc Length

Front

What is the relationship between radians and degrees?

Back

1 radian = 180/π degrees

Front

How do you convert degrees to radians?

Back

Multiply degrees by π/180.

Front

How do you convert radians to degrees?

Back

Multiply radians by 180/π.

Front

What is the formula for arc length?

Back

Arc Length = r * θ (where r is the radius and θ is the angle in radians).

Front

What is the arc length of a circle with radius 5 ft and angle 2π/3 radians?

Back

Arc Length = 5 * (2π/3) = 10π/3 ft.

Front

Convert 180 degrees to radians.

Back

180 degrees = π radians.

Front

Convert 90 degrees to radians.

Back

90 degrees = π/2 radians.

Front

What is the arc length of a circle with radius 4 ft and angle π/4 radians?

Back

Arc Length = 4 * (π/4) = π ft.

Front

If the radius of a circle is 10 ft, what is the arc length for an angle of π radians?

Back

Arc Length = 10 * π = 10π ft.

Front

Convert 360 degrees to radians.

Back

360 degrees = 2π radians.