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The area of a circle is 49 cm2. Find the circumference of the circle.

(Note: make sure you are showing the formulas you use to answer the question and how the numbers fit into the formulas).

I just need a step by step, please.

Respuesta :

~Hello There!~

The formula to find the area of a circle is:

[tex]\pi r^{2}[/tex]

We already know this answer, so we write it as:

[tex]\pi r^{2} =49[/tex]

We need to calculate the radius (r) from this so divide both sides by [tex]\pi[/tex]

[tex]r^{2} = 15.59718442[/tex]

Square root this to get r

r = 3.949327085

The formula for circumference is [tex]\pi *d[/tex]

(d is the diameter )

Double the radius to get the diameter:

d = 7.89865417

Multiply this value by [tex]\pi[/tex] to get the answer

The circumference is 24.81435391

Hope This Helps You!

Good Luck :)

Have A Great Day ^_^

- Hannah ❤

wegnerkolmp2741o

Answer:

C = 14 sqrt(pi)

Step-by-step explanation:

The formula for area of a circle is

A = pi r^2

49 = pi r^2

Divide each side by pi

49/pi = r^2

Take the square root of each side

sqrt(49/pi) = sqrt(r^2)

sqrt(49/pi) = r

Now we need to find the circumference

C = pi * 2 *r

C = pi * 2 * sqrt(49/pi)

C = pi * 2 *7/sqrt(pi)

We need to get rid of the qrt(pi) in the denominator) so multiply by sqrt(pi)/sqrt(pi)

C = pi * 2 *7/sqrt(pi) * sqrt(pi)/sqrt(pi)

C 14 pi* sqrt(pi)/pi

The pi in the numerator and denominator cancel

C = 14 sqrt(pi)

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