IB Revision: Radians, Arcs, Sectors Relationship between radians and degrees: 0/360 ° 90 ° 180 °...

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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°=

Transcript of IB Revision: Radians, Arcs, Sectors Relationship between radians and degrees: 0/360 ° 90 ° 180 °...

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° =

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° =

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° =

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° =

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° =

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° =

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° =

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° =

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° =

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° =

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° =

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° =

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° =

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° =

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° =

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° =

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° =

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° =

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° =

IB Revision: Radians, Arcs, Sectors


Name: Radians Day 2

Name: Radians Day 2

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