If a semi circle has a diameter of 4cm then what is the perimeter?

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If a semi circle has a diameter of 4cm then what is the perimeter?

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Answer 1 · 2018-07-01T10:51:39

$\approx 10.283 cm$ $~~10.283" cm"$

Explanation:

$perimeter = \frac{1}{2} π d + 4$ $"perimeter "=1/2pid+4$

$that is the semi circle plus diameter$ $"that is the semi circle plus diameter"$

$\times \times \times = (\frac{1}{2} \times π \times 4) + 4$ $"color(white)(xxxxxx)=(1/2xxpixx4)+4$

$\times \times \times = 2 π + 4 \approx 10.283 cm to 3 dec. places$ $color(white)(xxxxxx)=2pi+4~~10.283" cm to 3 dec. places"$

Answer 2 · 2018-07-01T10:52:12

$(4 + 2 π) cm$ $(4+2pi)"cm"$

Explanation:

$d = 4 cm$ $d=4 "cm"$ - - - i
$2 r = d$ $2r=d$ - - - ii
${Perimeter}_{semicircle} = 2 r + \frac{2 π r}{2}$ $"Perimeter"_"semicircle"= 2r+(2pir)/2$
Substitute in ii,
$\Rightarrow d + \frac{d π}{2}$ $rArrd+(dpi)/2$
Substitute in i,
$\Rightarrow (4 + \frac{4 π}{2}) cm$ $rArr(4+(4pi)/2)"cm"$
$\Rightarrow (4 + 2 π) cm$ $rArr(4+2pi)"cm"$

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If a semi circle has a diameter of 4cm then what is the perimeter?

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