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# What is the area of a circle with diameter, $d = 3.4m$ ?

Last updated date: 22nd Jul 2024
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Hint: The area of a flat shape or the surface of an object may be described in geometry as the space occupied by it. The number of unit squares that cover the surface of a closed figure is the figure's area.
Formula Used:
$A = \pi {r^2}$
Here,
$A$ is the area and
$r$ is the radius.

The area of a circle is defined as the area enclosed or the space occupied by a circle with a radius $r$ . The area of a circle is given by the formula $\pi {r^2}$ . The Greek letter $\pi$ reflects the constant circumference-to-diameter ratio of any circle, which is roughly 3.1416.
A straight line passing through the centre of the circle is the diameter. Half of the diameter is the radius. It begins at a point on the circle and ends at the circle's middle.
Here the diameter of the circle is given, which is $3.4m$ .
So, the radius of the circle has to be found out. The radius is given by the expression:
$r = \dfrac{d}{2}$ ,
Thus, $r = \dfrac{{3.4}}{2} = 1.7$ .
By substituting the value of r, the Area can be a found out:
$A = \pi {r^2}$
$A = (3.14){(1.7)^2}$
$A = 9.07{m^2}$
Thus, the area of a circle with diameter $d = 3.4$ is $9.07{m^2}$ .
So, the correct answer is “ $9.07{m^2}$ ”.

Note: The basic unit of area in the International System of Units (SI) is the square metre (represented as ${m^2}$ ), which is the area of a square with sides that are one metre long. A three-square-metre shape has the same area as three squares of the same size.