the circumference of a circle is 100 inches. The side of a square inscribed in this circle is
Answers
Answer:
\begin{gathered} Side\: of \: the \: square \\= \frac{100}{\sqrt{2} \pi}\end{gathered}
\begin{gathered} Side\: of \: the \: square \\= \frac{100}{\sqrt{2} \pi}\end{gathered}
Let d is a diameter of a circle .
Math
Circumference (C) = 100cm
15 points
=> πd = 100 cm
d = \frac{100}{d} \:--(1)
d = \frac{100}{d} \:--(1)
According to the problem given,
Square inscribed in a circle.
Let a is the side of a square .
/* we know that ,
Diagonal of a square = Diameter of a circle
\sqrt{2}a = \frac{100}{\pi}
\sqrt{2}a = \frac{100}{\pi}
\implies a = \frac{100}{\sqrt{2} \pi}
\implies a = \frac{100}{\sqrt{2} \pi}
Therefore,
\begin{gathered} Side\: of \: the \: square \\= \frac{100}{\sqrt{2} \pi}\end{gathered}
\begin{gathered} Side\: of \: the \: square \\= \frac{100}{\sqrt{2} \pi}\end{gathered}
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