Answer
Verified
377.4k+ views
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.
Complete step-by-step answer:
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.
Formula Used:
$ A = \pi {r^2} $
Here,
$ A $ is the area and
$ r $ is the radius.
Complete step-by-step answer:
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.
Recently Updated Pages
How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE
Mark and label the given geoinformation on the outline class 11 social science CBSE
When people say No pun intended what does that mea class 8 english CBSE
Name the states which share their boundary with Indias class 9 social science CBSE
Give an account of the Northern Plains of India class 9 social science CBSE
Change the following sentences into negative and interrogative class 10 english CBSE
Trending doubts
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
In Indian rupees 1 trillion is equal to how many c class 8 maths CBSE
Which are the Top 10 Largest Countries of the World?
How do you graph the function fx 4x class 9 maths CBSE
Give 10 examples for herbs , shrubs , climbers , creepers
Difference Between Plant Cell and Animal Cell
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
Why is there a time difference of about 5 hours between class 10 social science CBSE