The arc is one quarter of a circle so is 2pir, the other components of the quarter circle are the two radii, so perimeter is 2r+2pir = 2r(1+pi)
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Oh, dude, the perimeter of a three quarter circle is basically the same as the circumference of a full circle minus a quarter of it. So, you just take the formula for the circumference of a circle (2πr) and multiply it by 3/4. Easy peasy, lemon squeezy!
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
The perimeter of a circle
The boundary or perimeter of a circle is its circumference.
The perimeter of a full circle (circumference) is "pi" times the diameter. So the perimeter of a semi-circle will be half that; Perimeter = (pi/2) x (diameter).