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perimeter_of_quarter_circle = 1/2πr + 2r

For the arc bit of the perimeter:

circumference of circle = 2 x π x radius

quarter of this = 1/2 x π x radius

The two straight sides are radii which need to be added on making:

perimeter_of_quarter_circle = 1/2 x π x radius + 2 x radius

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