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  • 22-01-2024
  • Mathematics
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what's the circumference in terms of pi of a circle when the area is 167 pi

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Meherpuya
Meherpuya Meherpuya
  • 22-01-2024

Answer:

The circumference (C) of a circle can be calculated using the formula \( C = 2 \pi r \), where \( r \) is the radius.

If the area (\( A \)) is given as \( 167 \pi \), you can use the relationship \( A = \pi r^2 \) to find the radius (\( r \)).

\[ \pi r^2 = 167 \pi \]

\[ r^2 = 167 \]

\[ r = \sqrt{167} \]

Now that you have the radius, you can find the circumference:

\[ C = 2 \pi \sqrt{167} \]

So, the circumference in terms of pi is \( 2 \sqrt{167} \pi \).

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