Trig Functions Test 1 Wozgen

Front

Convert 100° to radians.

Back

100° = 5π/9 radians.

Front

Convert π radians to degrees.

Back

π radians = 180°.

Front

A ceiling fan with 16 inch blades rotates at 45 rpm. Find the angular speed of the fan in rad/min.

Back

Angular speed = 282.7 rad/min.

Front

Find the arc length for a circle with radius r and angle θ in radians.

Back

Arc length = r * θ.

Front

Find the area of a sector of a circle with radius r and central angle θ in radians.

Back

Area = 0.5 * r² * θ.

Front

Convert 360° to radians.

Back

360° = 2π radians.

Front

What is the relationship between degrees and radians?

Back

180° = π radians.

Front

If a circle has a radius of 4 inches, what is the circumference?

Back

Circumference = 2π * 4 = 8π inches.

Front

What is the formula for converting degrees to radians?

Back

Radians = Degrees × (π/180).

Front

What is the formula for converting radians to degrees?

Back

Degrees = Radians × (180/π).