Question

A wire is in the form of square with side 22cm. it is reshaped and bent into the form of circle. calculate the area of this circle?

Answer 1

Answer:

imagine.... 22cm of wire is bend. even try yourself

Step-by-step explanation:

okay I don't know the answer but I will still help you with some sentences:-

The area of the circle can be calculated by πr²

Answer 2

Step-by-step explanation:

$\underline{\underline{\maltese\: \: \textbf{\textsf{Question}}}}$

• A wire is in the form of a square with side 22cm. It is reshaped and bent into the form of circle. Calculate the area of the circle ?

$\underline{\underline{\maltese\: \: \textbf{\textsf{Answer}}}}$

• After solving this question we will get the area of the circle as 616cm².

$\underline{\underline{\maltese\: \: \textbf{\textsf{Given}}}}$

• Side of the square wire = 22cm.
• It is reshaped and bent into the form of circle.

$\underline{\underline{\maltese\: \: \textbf{\textsf{To\ Find}}}}$

• We have to find out the area of the circle.

$\underline{\underline{\maltese\: \: \textbf{\textsf{Basic\ Terms}}}}$

• Circle : A circle is a round shaped figure that has no corners or edges.
• Perimeter : Perimeter is the distance around a two-dimensional shape.
• Area : The area can be defined as the space occupied by a flat shape or the surface of an object.
• Radius : A line segment extending from the center of a circle or sphere to the circumference or bounding surface.

$\underline{\underline{\maltese\: \: \textbf{\textsf{Solution}}}}$

• As we are given that there is a wire in the form of square with side 22cm. It is reshaped and bent into the form of circle.
• As per the given information, we know that the wire is in the shape of a square.
• So here, the first step to find the area of the circle is to find the perimeter of the square.
• So, by using a required formula we will find out the perimeter of the square.

$\underline{\underline{\maltese\: \: \textbf{\textsf{Calculations}}}}$

We know that :-

${\underline{\boxed{\sf {Perimeter\ of\ square\ =\ 4 \times side}}}}$

Here,

• Side = 22cm.

By applying the values, we get :-

$\sf \mapsto {Perimeter\ of\ square\ =\ 4 \times side}$

$\sf \mapsto {Perimeter\ of\ square\ =\ 4 \times 22cm}$

$\sf \mapsto {Perimeter\ of\ square\ =\ 88cm}$

${\therefore{\underline{\boxed{\tt {Perimeter\ of\ square\ =\ 88cm.}}}}}$

• Now, we have the perimeter of the square which is equal to the circumference of circle.
• So, the second step in finding the area of the circle is to find out the radius of the circle.
• So, by using a required formula we will find out the radius of the circle.

We know that :-

${\underline{\boxed{\sf {Circumference\ of\ circle\ =\ 2{\pi}r}}}}$

Here,

• Circumference of circle = 88cm.
• π = 22/7.

By applying the values, we get :-

$\sf \mapsto {Circumference\ of\ circle\ =\ 2{\pi}r}$

$\sf \mapsto {88cm\ =\ 2 \times \dfrac{22}{7} \times r}$

$\sf \mapsto {88cm\ =\ \dfrac{44}{7} \times r}$

$\sf \mapsto {r\ =\ \dfrac{88 \times 7}{44}}$

$\sf \mapsto {r\ =\ \dfrac{616}{44}}$

$\sf \mapsto {r\ =\ 14cm}$

${\therefore{\underline{\boxed{\tt {Radius\ of\ the\ circle\ =\ 14cm.}}}}}$

• Now, we have the radius of the circle. So, the last step is to find the area of the circle.
• So, by using a required formula we will find out the area of the circle.

We know that :-

${\underline{\boxed{\sf {Area\ of\ circle\ =\ {\pi}r^2}}}}$

Here,

• π = 22/7.
• r (radius) = 14cm.

By applying the values, we get :-

$\sf \mapsto {Area\ of\ circle\ =\ {\pi}r^2}$

$\sf \mapsto {Area\ of\ circle\ =\ \dfrac{22}{7} \times 14^2}$

$\sf \mapsto {Area\ of\ circle\ =\ \dfrac{22}{7} \times 14 \times 14}$

$\sf \mapsto {Area\ of\ circle\ =\ 616cm^2}$

${\therefore{\underline{\boxed{\tt {Area\ of\ the\ circle\ =\ 616cm^2.}}}}}$