Question

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

Answer 1

C ≈ 14.18

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

Answer 2

`{ \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}{ √( \pi) } }`

Now,

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

`\qquad \sf  \dashrightarrow \: c = 2 \pi \cfrac{4}{ √( \pi) }`

`\qquad \sf  \dashrightarrow \: c = 8 √( \pi)`

[ for approximate value take pi = 3.14 ]

`\qquad \sf  \dashrightarrow \: c = 8 √(3.14)`

`\qquad \sf  \dashrightarrow \: c \approx 8 * 1.77`

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