Question

What is the area of a square inscribed in a circle with radius 1 meter?

Answer 1

Given:

`Radius\text{ \lparen r\rparen = 1 m}`

Required:

The area of the given square.

Step-by-step explanation:

The side of a square inscribed in a circle with radius r is given as,

`Side\text{ = r}√(2)`

The side of a square is calculated as,

`\begin{gathered} side\text{ = 1 }*\text{ }√(2) \\ side\text{ = }√(2)\text{ m} \\ \end{gathered}`

The area of the square is calculated as,

`\begin{gathered} Area\text{ = side}^2 \\ Area\text{ = \lparen}√(2))^2 \\ Area\text{ = 2 m}^2 \end{gathered}`

Answer:

Thus the area of the square inscribed in the given circle is 2 sq.m.