Answer

Verified

349.2k+ 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.

Recently Updated Pages

How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE

Why Are Noble Gases NonReactive class 11 chemistry CBSE

Let X and Y be the sets of all positive divisors of class 11 maths CBSE

Let x and y be 2 real numbers which satisfy the equations class 11 maths CBSE

Let x 4log 2sqrt 9k 1 + 7 and y dfrac132log 2sqrt5 class 11 maths CBSE

Let x22ax+b20 and x22bx+a20 be two equations Then the class 11 maths CBSE

Trending doubts

Which are the Top 10 Largest Countries of the World?

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Guru Purnima speech in English in 100 words class 7 english CBSE

Give 10 examples for herbs , shrubs , climbers , creepers

Change the following sentences into negative and interrogative class 10 english CBSE

Difference Between Plant Cell and Animal Cell

Three liquids are given to you One is hydrochloric class 11 chemistry CBSE

Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE