Question

How do u find the radius of a circle with

Circles
ANSWERED
asked 2021-08-08
How do u find the radius of a circle with a square inside that has the side lengths of 8cm.

Answers (1)

2021-08-09
Step 1
Topic- circles and square
Step 2
image
Circle radius
\(\displaystyle{R}=?\)
here side of square
\(\displaystyle{a}={8}{c}{m}\)
\(\displaystyle\Rightarrow{o}{m}={1}{m}=\frac{{a}}{{2}}={4}{c}{m}\)
using pythagors theorem
\(\displaystyle{R}^{{{2}}}={\left({o}{m}\right)}^{{{2}}}+{\left(\pm\right)}^{{{2}}}\)
\(\displaystyle\Rightarrow{R}^{{{2}}}={\left({4}\right)}^{{{2}}}+{\left({4}\right)}^{{{2}}}\)
\(\displaystyle\Rightarrow{R}^{{{2}}}={32}\)
\(\displaystyle\Rightarrow{R}={4}\sqrt{{{2}}}{c}{m}\)
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