Find the circumference of a circle whose radius is 21cm. (use pi: 22/7)

1 answer

The formula to find the circumference \( C \) of a circle is given by:

\[ C = 2 \pi r \]

where \( r \) is the radius of the circle. Given that the radius \( r \) is 21 cm and using \( \pi \) as \( \frac{22}{7} \), we can substitute these values into the formula:

\[ C = 2 \times \frac{22}{7} \times 21 \]

Now, let's calculate it step-by-step:

  1. Multiply \( 2 \) and \( 21 \):

\[ 2 \times 21 = 42 \]

  1. Now substitute that back into the circumference equation:

\[ C = \frac{22}{7} \times 42 \]

  1. To multiply \( \frac{22}{7} \) by \( 42 \), we can perform the multiplication:

\[ C = \frac{22 \times 42}{7} \]

Now calculate \( 22 \times 42 \):

\[ 22 \times 42 = 924 \]

  1. Now divide \( 924 \) by \( 7 \):

\[ C = \frac{924}{7} = 132 \]

Thus, the circumference of the circle is:

\[ \boxed{132 \text{ cm}} \]