14 inch 7 inch Which one contains more calories? a)They both contain the same amount b)Half the 14 inch pizza has more c)The full 7 inch pizza contains.

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Presentation transcript:

14 inch 7 inch Which one contains more calories? a)They both contain the same amount b)Half the 14 inch pizza has more c)The full 7 inch pizza contains more

Arc Length and Sector Area LO: To be able to calculate the length of a circle arc. To be able to calculate the area of a circle sector.

Match up the parts of the circle with their terminology. Circumference Radius Sector Segment Arc Tangent Chord

Sector – part of a circle bounded by 2 radii.

Arc – a length of the circle’s circumference (the curved edge of a sector).

Starter What do you notice?

What is the area? 5cm 180° 8cm 90° 4cm 270°

Slightly harder… 10cm 225° In general… r ϴ°ϴ° AREA OF A SECTOR

What is the length of these arcs? 5cm 180° 8cm 90° 4cm 270°

Slightly harder… 10cm 225° In general… r ϴ°ϴ° LENGTH OF AN ARC

Reversing the formula to find the angle r ϴ°ϴ° LENGTH OF AN ARC 12cm ϴ°ϴ° 33.5cm