Question

a piece of wire is bent to form a square of area (121)square ;the same piece of wire is bent to form a circle calculate the radius of circle and area of circle .take pie as 22by 7

Answer 1

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Answer 2

The radius of circle is 7 unit and The area of circle is 154 sq.unit

Step-by-step explanation:

Area of square = side ^2

We are given that Area of square is 121 sq.unit.

So, Side^2 = 121

Side = $\sqrt{121}=11 unit$

Perimeter of square =$4 \times Side = 4 \times 11 = 44 cm$

Circumference of circle =$2 \pi r$

a piece of wire is bent to form a square of area (121)square ;the same piece of wire is bent to form a circle

So, $2 \pi r = 44\\r = 44 \times \frac{7}{22 \times 2}$

r=7

Area of circle =$\pi r^2 = \frac{22}{7} (7)^2=154 sq.unit$

Hence The radius of circle is 7 unit and The area of circle is 154 sq.unit

#Learn more:

A wire is bent in the form of of a square of area 1936cmSquare. If the same wire is bent to form a circle. Find the radius of the circle and the area enclosed.​

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