Convert π/6 rad
What is 30 degrees?
Work: π/6 + 180/π = 30
Convert 90 degrees
What is π/2 rad?
Work: 90 * π/180 = π/2
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
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
Convert -10π/20 rad to degrees
What is -60 degrees?
Work: -10π/20 * 180/π = -60
Convert π/10 rad
What is 18 degrees?
Work: π/10 * 180/π = 18
Convert 180 degrees
What is π?
Work: 180 * π/180 = π
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
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
Convert -640 degrees to rad
What is -32π/9 rad?
Work: -640 * π/180 = -32π/9
Convert 5π/10 rad
What is 90?
Work 5π/10 * 180/π = 90
Convert 340 degrees
What is 17π/9 rad?
Work: 340 * π/180 = 17π/9
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
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
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
Convert 9π/3 rad
what is 540 degrees?
work: 9π/3 * 180/π = 540
Convert 560 degrees
What is 28π/9 rad?
Work: 560 * π/180 = 28π/9
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
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
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
Convert -11π/6 rad
What is -330 degrees?
Work: -11π/6 * 180/π = -330
Convert -360 degrees
What is -2π rad?
Work: -360 * π/180 = -2π
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
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
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