Fraction of a shape inquiry Mathematical notes For any isosceles triangle Total area
(5b) =
By similar triangles
1
Area unshaded
(2b)
=
Area shaded
–
Fraction shaded
=
1
= (2b)
=
=
For a circle Area of circle
=
Area of semi-circle A =
Area of triangle B Area of triangles B and C θ Area of sector D
Area of sectors D and E Area of shaded segment (A, B, C, D and E) Fraction of circle shaded = 0.62646 (accurate to 5 d.p.), approximately approximately
Fraction of a shape inquiry - mathematical notes.pdf
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