Degrees/Radians/Arc Length/Sector Area

Degrees

100

Coterminal to 80°

What is 440° and -280°

200

Coterminal to 126°

What is 486° and -234°

300

Find the complement of 73°

What is 17°

400

Supplement of 150°

What is 30°

500

Complement and Supplement of 85°

What is 5° and 95°

Radians

100

Coterminal of

pi/2 

What is

(5pi)/2

 and

(-3pi)/2

200

Supplementary angle of

(5pi)/12

What is

(7pi)/12

300

Coterminal of

(-5pi)/4

 

What is

(-13pi)/4

and

(3pi)/4

400

Coterminal of

(7pi)/6

What is

(19pi)/6

and

(-5pi)/6

500

Complement of

pi/3

What is

(pi/6)

Arc Length

100

Find the arc if r= 3in. and Ө= 200°

What is 10π/3 in. or 10.5in

200

Find the arc if r= 12cm 

and theta=pi/6

2pi cm or 6.3cm

What is 2π cm or 6.3cm

300

Find the arc if r= 15in. and Ө= 120°

What is 10π in. or 31.4in

400

Find the arc if r= 1.5ft. and Ө= 1.5

What is 2.25ft.

500

Find the arc if r= 315° and Ө= 5in.

What is

(35pi)/4

 or 27.5in.

Sector Area

100

Find the area if r= 12mm and Ө= π/4

What is 18 π mm² or 56.5 mm²

200

Find the are if r= 4in. and Ө= 2.4

What is 19.2 in²

300

Find the area if r= 3m and Ө= 2π/5

What is 

(9pi)/5m^2

5.65 m²

400

Find the area if r= 3cm. and Ө= 2

What is 9cm²

500

Find the area if r= 5m. and Ө= 15°

What is 3.27m² or

(25pi)/24m^2

Bonus

100

What should you always do when working with shape questions?

What is a sketch?

200

Equation for length of a sector

What is 

S=thetar

300

Convert degrees to radians: 135°

What is 3π/4

400

Convert radians to degrees: 4π/5

What is 144°

500

The minute hand on a clock is 1.2 cm long. How far does the tip of the minute hand travel in 40 minutes?

What is 5.03cm