Rad to Deg
Deg to Rad
Arc Length
Area of Sector
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100

Convert π/6 rad

What is 30 degrees?

Work: π/6 + 180/π = 30

100

Convert 90 degrees

What is π/2 rad?

Work: 90 * π/180 = π/2

100

A circle with the radius of 10 m and a central angle of π/6 rad

What is 5π/3 or 5.236 m

Work: s = 10 (π/6) = 5π/3 or 5.236 

100

A circle with the radius of 2 in and a central angle of π/3 rad

What is 2π/3 or 2.094 in²?

Work: A = 1/2 * 2² * π/3 = 2π/3 or 2.094

100

Convert -10π/20 rad to degrees

What is -60 degrees?

Work: -10π/20 * 180/π = -60

200

Convert π/10 rad

What is 18 degrees? 

Work: π/10 * 180/π = 18

200

Convert 180 degrees 

What is π?

Work: 180 * π/180 = π

200

A circle with the radius of 10 m and a central angle of π

What is 10π or 31.416 m?

Work: s = 10(π) = 10π or 31.416

200

A circle with the radius of 6 in and a central angle of π/2 rad

What is 9π or 28.274 in²?

Work: A = 1/2 * 6² * π/2 = 9π or 28.274

200

Convert -640 degrees to rad

What is -32π/9 rad?

Work: -640 * π/180 = -32π/9 

300

Convert 5π/10 rad

What is 90?

Work 5π/10 * 180/π = 90

300

Convert 340 degrees

What is 17π/9 rad?

Work: 340 * π/180 = 17π/9

300

A circle with the radius of 15 ft and a central angle of 3π/6 rad

What is 15π/2 or 23.562 ft

Work: s = 15(3π/6) = 15π/2 or 23.562

300

A circle with the radius of 10 in and a central angle of 2π/3 rad

What is 100π/3 or 104.72 ft²?

Work: A = 1/2 * 10² * 2π/3 = 100π/3 or 104.72

300

Find the radius of a circle with the central angle of π/2 and arc length of 2π ft

What is a radius of 4 ft?

Work: 2π= r(π/2) --> r = 2π/(π/2) = 4

400

Convert 9π/3 rad

what is 540 degrees? 

work: 9π/3 * 180/π = 540

400

Convert 560 degrees

What is 28π/9 rad?

Work: 560 * π/180 = 28π/9

400

A circle with the radius of 10 yds and a central angle of 160 degrees

What is 80π/9 or 27.925 yds?

Work:

160 * π/180 = 8π/9

s = 10(8π/9) = 80π/9 or 27.925

400

A circle with the radius of 2 yd and a central angle of 200 degrees 

What is 20π/9 or 6.981 yd²?

Work:

200 * π/180 = 10π/9

A = 1/2 * 2² * 10π/9 = 20π/9 or 6.981

400

Find the area of the sector of a circle with the radius of 90 yd and a central angle of 45 degrees

What is 2025π/2 or 3180.863 yd²?

Work:

45 * π/180 = π/4

A = 1/2 * 90² * π/4 = 2025π/2 or 3180.863

500

Convert -11π/6 rad

What is -330 degrees?

Work: -11π/6 * 180/π = -330 

500

Convert -360 degrees

What is -2π rad?

Work: -360 * π/180 = -2π 

500

A circle with the radius of 5 ft and a central angle of 210 degrees

What is 35π/6 or 18.326 ft

Work: 

210 * π/180 = 7π/6

s = 5(7π/6) =35π/6 or 18.326

500

A circle with the radius of 12 yd and a central angle of 160 degrees

What is 64π or 201.062 yd²?

Work: 

160 * π/180 = 8π/9

A = 1/2 * 12² * 8π/9 = 64π or 201.062 yd


500

What is the radius of a circle with central angle of 68 degrees and an area of 60 cm²

What is 10.055 cm?

Work:

68 * π/180 =17π/45

60 = 1/2 * r² * 17π/45 --> 60/ (17π/90) = r²

101.110 = r² --> √101.110 = r --> r = 10.55



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