is the perimeter and circumference of semicircle different?
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circumference (C) of a semicircle is only the curved shape of of the semicircle.
But Perimeter (P) is the total length of the outer side of semicircle.
Formula of Circumference of semicircle = πr or πd/2
to prove -
Circumference of Circle = 2πr
Semicircle is 1/2 of a circle, so circumference of semicircle =
1/2 × 2× πr = 2/2 ×πr
= πr
r = d/2
so circumference = πr = πd/2
Formula of perimeter of semicircle = πr +d or πr +2r or 1/2(πd) + 2r
to prove -
perimeter of semicircle = circumference of semicircle + diameter of semicircle
= πr +d
d = 2r
so perimeter = πr +2r
many more way to prove..
so hope you understand my opinion on this topic, I have answered with full explanation.
hope it helps.
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