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Half-Circle Function. Function defined by a relation in the form f ( x) = r 2 – x 2 or f ( x) = − r 2 – x 2 where r is the radius of a circle centered on the origin point.
The circumference of a circle is C = πd or C = 2πr. Further, using the value of C, we can frame the formula for the perimeter of a semicircle which is equal to the sum of half of the circumference
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Knowing the semicircle definition – half of a circle – we can easily write the semicircle area formula using the well-known circle area, \pi\cdot r^2 π ⋅r2: A_ {\mathrm {semicircle}} = \frac {A_ {\mathrm {circle}} {2} = \frac