What is the radius of a circle with a circumference of 28 pi?
animeagan0o8
Answered question
2022-12-30
Answer & Explanation
Aryanna Chaney
Beginner2022-12-31Added 6 answers
\(\displaystyle{28}\pi={c}\)
\(\displaystyle{28}\pi=\pi{d}\)
By dividing both sides, \(\displaystyle\pi\):
\(\displaystyle\frac{{{28}\pi}}{{\pi}}=\frac{{\pi{d}}}{{\pi}}\)
\(\displaystyle\frac{{{28}{\color{red}{\cancel{{\pi}}}}}}{{{\color{red}{\cancel{{\pi}}}}}}=\frac{{{\color{red}{\cancel{{\pi}}}}{d}}}{{{\color{red}{\cancel{{\pi}}}}}}\)
\(\displaystyle{28}={d}\)
Since radius is twice as big as diameter, multiply your diameter by 2 to get your radius.
\(\displaystyle\frac{{d}}{{2}}={r}=\frac{{28}}{{2}}={\color{red}{{14}}}\)
Therefore, your radius is 14 units.
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