Given:
[tex]Radius\text{ \lparen r\rparen = 1 m}[/tex]
Required:
The area of the given square.
Explanation:
The side of a square inscribed in a circle with radius r is given as,
[tex]Side\text{ = r}\sqrt{2}[/tex]
The side of a square is calculated as,
[tex]\begin{gathered} side\text{ = 1 }\times\text{ }\sqrt{2} \\ side\text{ = }\sqrt{2}\text{ m} \\ \end{gathered}[/tex]
The area of the square is calculated as,
[tex]\begin{gathered} Area\text{ = side}^2 \\ Area\text{ = \lparen}\sqrt{2})^2 \\ Area\text{ = 2 m}^2 \end{gathered}[/tex]
Answer:
Thus the area of the square inscribed in the given circle is 2 sq.m.
