Area: 1/2πr2
Perimeter: 1/2πd+d
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In geometry, Heron's (or Hero's) formula, named after Heron of Alexandria, states that the area A of a triangle whose sides have lengths a, b, and c is square root of semi perimeter multiply by semi perimeter minus a multiply by semi perimeter minus b multiply by semi perimeter minus c.
The perimeter of a circle has the formula 2πr. Therefore the length of a semi circle is πr. But the perimeter of a semi circle also includes the diameter which is 2r. Therefore the perimeter of a semi circle = πr + 2r = r(π + 2)
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Calculate the area of a rectangle and of the semicircle separately, then add.
Its perimeter is half of its circumference plus its diameter