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Sagot :
Answer:
C ≈ 14.18
Step-by-step explanation:
Question Given:
A circle has an area of 16mm². Find it's circumference.
Formula:
C = 2√πA
Solve:
C = 2√πA
C = 2√(3.14 × 16)
C = 2√50.24
C = 14.1760361173
C ≈ 14.18
Hence, Circumference is approximately 14.18.
~Kavinsky
[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
Here we go ~
Area of Circle :
[tex]\qquad \sf \dashrightarrow \: \pi {r}^{2} [/tex]
Now, it's given that area of circle is : 16 mm²
Let's calculate Radius ~
[tex]\qquad \sf \dashrightarrow \: \pi {r}^{2} = 16[/tex]
[tex] \qquad \sf \dashrightarrow \: {r}^{2} = \cfrac{16}{ \pi} [/tex]
[tex]\qquad \sf \dashrightarrow \: r = \sqrt{ \cfrac{16}{ \pi} } [/tex]
[tex]\qquad \sf \dashrightarrow \: r = { \cfrac{4}{ \sqrt{ \pi} } }[/tex]
Now,
[tex]\qquad \sf \dashrightarrow \: circumference = 2\pi r[/tex]
[tex]\qquad \sf \dashrightarrow \: c = 2 \pi \cfrac{4}{ \sqrt{ \pi} } [/tex]
[tex]\qquad \sf \dashrightarrow \: c = 8 \sqrt{ \pi} [/tex]
[ for approximate value take pi = 3.14 ]
[tex]\qquad \sf \dashrightarrow \: c = 8 \sqrt{3.14} [/tex]
[tex]\qquad \sf \dashrightarrow \: c \approx 8 \times 1.77[/tex]
[tex]\qquad \sf \dashrightarrow \: c \approx 14.18 \: \: mm[/tex]
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