note 2: perimeter the perimeter is the distance around the outside of a shape. start at one corner...
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Note 2: Perimeter
The perimeter is the distance around the outside of a shape. Start at one corner and work around the shape calculating any missing sides.
6 cm
5 cm
2 cm
5 cm
Perimeter = 5cm + 3cm + 6cm + 2cm + 11cm + 5cm
= 32cm
Note 3: Circumference
The perimeter of a circle is called the circumference.The formula for the circumference is: C = πd or C = 2πrwhere d = diameter r = radius. Example: Find the circumference of
C = 2πr
= 2 x π x 8cm
= 50.3cm (1dp)
If a sector has an angle at the centre equal to x, then the arc length is x/360 of the circumference.
Example: Find the perimeter of the sector
Angle of sector = 360° - 120 ° = 240 °
Arc Length = x/360 x 2πr
= 240/360 x 2 x π x 6m
= 25.1m (1dp)
Perimeter = 2 x 6m + 25.1m
= 37.1m
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Exercise 11B