Conversions
Arc Length and Area
Linear and Angular Speed
Trig Functions
Circular Functions
100

Convert 2π to degrees

What is 360 degrees?

100

The formula for arc length.

What is s = rθ?

100

The formula for linear speed.

What is v = s/t?

What is v = r θ/ t?

What is v =rw ?

100

The six trig functions.

What are sine, cosine, tangent, cosecant, secant, and cotangent?

100

The circular function for sin s is

What is y?

200

Convert 3π/2 to degrees.

What is 270 degrees?

200

The formula for the area of a sector of a circle.

What is A = 1/2r2θ?

200

The formula for angular speed?

What is w = θ / t?


200

Told to solve cos(π/3), the first step to solve is

What is convert radians to degrees?

200

Find a calculator approximation of cos 1.85.

What is -.2756?

300

Convert 150 degrees to radians.

What is 5π/6 radians?

300

A circle with radius 7 and a central angle of 7π/2 has an arc length of

What is 49π/2?

300

Radius is 10 cm and angular speed is π/18. Find the angle generated in 6 seconds?

What is π/3?

300

Tangent of 2π/3.

What is the negative square root of 3?

300

The calculator approximation of cot 1.3209 is

What is .2552?

400

Convert 29π/36 to degrees.

What is 145 degrees?

400

The area of the sector with a radius of 321 m and a central angle of 15 degrees.

What is 13,500 m2?

400

A belt runs a pulley of radius 6 m at 80 revolutions per min. Find the angular speed of the pulley in radians per second.

What is 8π/3?

400

Tangent of π/2

What is undefined?

400

Approximate the value of s in the interval [0, π/2], if cos s = .9685.

What is .2517?

500

Convert 69 degrees to radians.

What is 23π/60 radians?

500

Hazelton Are High School is approximately due north of Dunmore High School. The latitude of Hazelton is 40 degrees N, while that of Dunmore is 34 degrees N. The radius of the Earth is 6400 km. Find the North-South distance between the two cities.

What is 670 km?

500

A satellite travelling in a circular orbit 1600 km above the surface of Earth  takes 2 hr to make an orbit. The radius of Earth is 6400 km. Find the linear speed of the satellite.

What is 25,000 km per hour?

500

Cosecant of π/6.

What is 2?

500

Find the exact value of s in the interval [π, 3π/2], if tan s = 1. 

What is 5π/4?

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