ib revision: radians, arcs, sectors relationship between radians and degrees: 0/360 ° 90 ° 180 °...
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![Page 1: IB Revision: Radians, Arcs, Sectors Relationship between radians and degrees: 0/360 ° 90 ° 180 ° 270 ° 0/2π ½ π π 3/2 π e.g. 1)45 ° = 2)60° = 3)300° =](https://reader035.vdocuments.net/reader035/viewer/2022062618/55143037550346ec488b5f33/html5/thumbnails/1.jpg)
IB Revision: Radians, Arcs, Sectors
Relationship between radians and degrees:
0/360°
90°
180°
270°
0/2π
½ π
π
3/2 π
e.g.
1) 45° =
2) 60° =
3) 300° =
4) 20°=
5) 182°=
![Page 2: IB Revision: Radians, Arcs, Sectors Relationship between radians and degrees: 0/360 ° 90 ° 180 ° 270 ° 0/2π ½ π π 3/2 π e.g. 1)45 ° = 2)60° = 3)300° =](https://reader035.vdocuments.net/reader035/viewer/2022062618/55143037550346ec488b5f33/html5/thumbnails/2.jpg)
IB Revision: Radians, Arcs, Sectors
Name What we find
Formula Unit
10 cm
θ
![Page 3: IB Revision: Radians, Arcs, Sectors Relationship between radians and degrees: 0/360 ° 90 ° 180 ° 270 ° 0/2π ½ π π 3/2 π e.g. 1)45 ° = 2)60° = 3)300° =](https://reader035.vdocuments.net/reader035/viewer/2022062618/55143037550346ec488b5f33/html5/thumbnails/3.jpg)
IB Revision: Radians, Arcs, Sectors
Name What we find
Formula Unit
Arc Length cm
10 cm
θ
![Page 4: IB Revision: Radians, Arcs, Sectors Relationship between radians and degrees: 0/360 ° 90 ° 180 ° 270 ° 0/2π ½ π π 3/2 π e.g. 1)45 ° = 2)60° = 3)300° =](https://reader035.vdocuments.net/reader035/viewer/2022062618/55143037550346ec488b5f33/html5/thumbnails/4.jpg)
IB Revision: Radians, Arcs, Sectors
Name What we find
Formula Unit
Arc Length cm5 m
θ
![Page 5: IB Revision: Radians, Arcs, Sectors Relationship between radians and degrees: 0/360 ° 90 ° 180 ° 270 ° 0/2π ½ π π 3/2 π e.g. 1)45 ° = 2)60° = 3)300° =](https://reader035.vdocuments.net/reader035/viewer/2022062618/55143037550346ec488b5f33/html5/thumbnails/5.jpg)
IB Revision: Radians, Arcs, Sectors
Name What we find
Formula Unit
Arc Length cm
Sector Area m2
5 m
θ
![Page 6: IB Revision: Radians, Arcs, Sectors Relationship between radians and degrees: 0/360 ° 90 ° 180 ° 270 ° 0/2π ½ π π 3/2 π e.g. 1)45 ° = 2)60° = 3)300° =](https://reader035.vdocuments.net/reader035/viewer/2022062618/55143037550346ec488b5f33/html5/thumbnails/6.jpg)
IB Revision: Radians, Arcs, Sectors
Name What we find
Formula Unit
Arc Length cm
Sector Area m2
θ
1 km
![Page 7: IB Revision: Radians, Arcs, Sectors Relationship between radians and degrees: 0/360 ° 90 ° 180 ° 270 ° 0/2π ½ π π 3/2 π e.g. 1)45 ° = 2)60° = 3)300° =](https://reader035.vdocuments.net/reader035/viewer/2022062618/55143037550346ec488b5f33/html5/thumbnails/7.jpg)
IB Revision: Radians, Arcs, Sectors
Name What we find
Formula Unit
Arc Length cm
Sector Area m2
Sector Area km2
θ
1 km
![Page 8: IB Revision: Radians, Arcs, Sectors Relationship between radians and degrees: 0/360 ° 90 ° 180 ° 270 ° 0/2π ½ π π 3/2 π e.g. 1)45 ° = 2)60° = 3)300° =](https://reader035.vdocuments.net/reader035/viewer/2022062618/55143037550346ec488b5f33/html5/thumbnails/8.jpg)
IB Revision: Radians, Arcs, Sectors
Name What we find
Formula Unit
Arc Length cm
Sector Area m2
Sector Area km2
3 ft
θ
![Page 9: IB Revision: Radians, Arcs, Sectors Relationship between radians and degrees: 0/360 ° 90 ° 180 ° 270 ° 0/2π ½ π π 3/2 π e.g. 1)45 ° = 2)60° = 3)300° =](https://reader035.vdocuments.net/reader035/viewer/2022062618/55143037550346ec488b5f33/html5/thumbnails/9.jpg)
IB Revision: Radians, Arcs, Sectors
Name What we find
Formula Unit
Arc Length cm
Sector Area m2
Sector Area km2
Sector Length ft2rr 22...
360
3 ft
θ
![Page 10: IB Revision: Radians, Arcs, Sectors Relationship between radians and degrees: 0/360 ° 90 ° 180 ° 270 ° 0/2π ½ π π 3/2 π e.g. 1)45 ° = 2)60° = 3)300° =](https://reader035.vdocuments.net/reader035/viewer/2022062618/55143037550346ec488b5f33/html5/thumbnails/10.jpg)
IB Revision: Radians, Arcs, Sectors
Name What we find
Formula Unit
Arc Length cm
Sector Area m2
Sector Area km2
Sector Length ft2rr 22...
360
5 mm
θ
![Page 11: IB Revision: Radians, Arcs, Sectors Relationship between radians and degrees: 0/360 ° 90 ° 180 ° 270 ° 0/2π ½ π π 3/2 π e.g. 1)45 ° = 2)60° = 3)300° =](https://reader035.vdocuments.net/reader035/viewer/2022062618/55143037550346ec488b5f33/html5/thumbnails/11.jpg)
IB Revision: Radians, Arcs, Sectors
Name What we find
Formula Unit
Arc Length cm
Sector Area m2
Sector Area km2
Sector Length ft
Segment Area mm2
rr 22...360
5 mm
θ
hbr ..2
1..
3602
![Page 12: IB Revision: Radians, Arcs, Sectors Relationship between radians and degrees: 0/360 ° 90 ° 180 ° 270 ° 0/2π ½ π π 3/2 π e.g. 1)45 ° = 2)60° = 3)300° =](https://reader035.vdocuments.net/reader035/viewer/2022062618/55143037550346ec488b5f33/html5/thumbnails/12.jpg)
IB Revision: Radians, Arcs, Sectors
Find the length of the minor arc
Find the area of the sector
![Page 13: IB Revision: Radians, Arcs, Sectors Relationship between radians and degrees: 0/360 ° 90 ° 180 ° 270 ° 0/2π ½ π π 3/2 π e.g. 1)45 ° = 2)60° = 3)300° =](https://reader035.vdocuments.net/reader035/viewer/2022062618/55143037550346ec488b5f33/html5/thumbnails/13.jpg)
IB Revision: Radians, Arcs, Sectors
![Page 14: IB Revision: Radians, Arcs, Sectors Relationship between radians and degrees: 0/360 ° 90 ° 180 ° 270 ° 0/2π ½ π π 3/2 π e.g. 1)45 ° = 2)60° = 3)300° =](https://reader035.vdocuments.net/reader035/viewer/2022062618/55143037550346ec488b5f33/html5/thumbnails/14.jpg)
IB Revision: Radians, Arcs, Sectors
![Page 15: IB Revision: Radians, Arcs, Sectors Relationship between radians and degrees: 0/360 ° 90 ° 180 ° 270 ° 0/2π ½ π π 3/2 π e.g. 1)45 ° = 2)60° = 3)300° =](https://reader035.vdocuments.net/reader035/viewer/2022062618/55143037550346ec488b5f33/html5/thumbnails/15.jpg)
IB Revision: Radians, Arcs, Sectors
![Page 16: IB Revision: Radians, Arcs, Sectors Relationship between radians and degrees: 0/360 ° 90 ° 180 ° 270 ° 0/2π ½ π π 3/2 π e.g. 1)45 ° = 2)60° = 3)300° =](https://reader035.vdocuments.net/reader035/viewer/2022062618/55143037550346ec488b5f33/html5/thumbnails/16.jpg)
IB Revision: Radians, Arcs, Sectors
![Page 17: IB Revision: Radians, Arcs, Sectors Relationship between radians and degrees: 0/360 ° 90 ° 180 ° 270 ° 0/2π ½ π π 3/2 π e.g. 1)45 ° = 2)60° = 3)300° =](https://reader035.vdocuments.net/reader035/viewer/2022062618/55143037550346ec488b5f33/html5/thumbnails/17.jpg)
IB Revision: Radians, Arcs, Sectors
![Page 18: IB Revision: Radians, Arcs, Sectors Relationship between radians and degrees: 0/360 ° 90 ° 180 ° 270 ° 0/2π ½ π π 3/2 π e.g. 1)45 ° = 2)60° = 3)300° =](https://reader035.vdocuments.net/reader035/viewer/2022062618/55143037550346ec488b5f33/html5/thumbnails/18.jpg)
IB Revision: Radians, Arcs, Sectors
![Page 19: IB Revision: Radians, Arcs, Sectors Relationship between radians and degrees: 0/360 ° 90 ° 180 ° 270 ° 0/2π ½ π π 3/2 π e.g. 1)45 ° = 2)60° = 3)300° =](https://reader035.vdocuments.net/reader035/viewer/2022062618/55143037550346ec488b5f33/html5/thumbnails/19.jpg)
IB Revision: Radians, Arcs, Sectors