Area of a Polygon (Grade 10 NSC Matric Mathematics): Flashcards

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Area of a Polygon
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Definition of area

Amount of 2D space within boundary of flat shape

Units for measuring area

Square units (cm², m², km²)

Area formula for square

s2s^2 where ss = side length

Area formula for rectangle

b×hb \times h where bb = base, hh = height

Area formula for triangle

12b×h\frac{1}{2}b \times h where bb = base, hh = perp. height

Area formula for trapezium

12(a+b)×h\frac{1}{2}(a + b) \times h where aa, bb = parallel sides

Area formula for parallelogram

b×hb \times h where bb = base, hh = perp. height

Area formula for circle

πr2\pi r^2 where rr = radius

Requirement for height in area formulas

Height must be perpendicular (90°) to the base

1 hectare in square kilometres

≈ 0.01 km²

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