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anzhelika [568]
2 years ago
12

BRIANLY FOR THE BEST EXPLANATION AND ANSWER!

Mathematics
2 answers:
Kryger [21]2 years ago
8 0

Answer:

C ≈ 14.18

Step-by-step explanation:

<u><em>Question Given:</em></u>

A circle has an area of 16mm². Find it's circumference.

<u><em>Formula:</em></u>

C = 2√πA

<u><em>Solve:</em></u>

C = 2√πA

C = 2√(3.14 × 16)

C = 2√50.24

C = 14.1760361173

C ≈ 14.18

<em>Hence, Circumference is approximately 14.18.</em>

<em />

<u>~Kavinsky</u>

solong [7]2 years ago
5 0

{ \qquad\qquad\huge\underline{{\sf Answer}}}

Here we go ~

Area of Circle :

\qquad \sf  \dashrightarrow \:  \pi {r}^{2}

Now, it's given that area of circle is : 16 mm²

Let's calculate Radius ~

\qquad \sf  \dashrightarrow \: \pi {r}^{2}  = 16

\qquad \sf  \dashrightarrow \:  {r}^{2}  =  \cfrac{16}{ \pi}

\qquad \sf  \dashrightarrow \: r =  \sqrt{ \cfrac{16}{ \pi} }

\qquad \sf  \dashrightarrow \: r =  { \cfrac{4}{ \sqrt{ \pi} } }

Now,

\qquad \sf  \dashrightarrow \: circumference =  2\pi r

\qquad \sf  \dashrightarrow \: c = 2 \pi  \cfrac{4}{ \sqrt{ \pi} }

\qquad \sf  \dashrightarrow \: c = 8 \sqrt{ \pi}

[ for approximate value take pi = 3.14 ]

\qquad \sf  \dashrightarrow \: c = 8 \sqrt{3.14}

\qquad \sf  \dashrightarrow \: c   \approx 8 \times 1.77

\qquad \sf  \dashrightarrow \: c   \approx 14.18 \:  \: mm

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