Answer

Verified

452.4k+ views

Hint: Here we go through by first making the diagram of a circle and then make two different diameters in the circle then analyze the diameter whether they intersect or not.

As we know the definition of a circle is a shape consisting of all points in a plane that are a given distance from a given point, the center; equivalently it is the curve traced out by a point that moves in a plane so that its distance from a given point is constant.

And the diameter says a line segment whose endpoints lie on the circle and that passes through the center; this is the largest distance between any two points on the circle.

As we know from the above definition the diameter always passes through the center. And the line segment which joins center to the point on circumference is known as radius.

Now in the figure there are two diameters AB and CD which are passing through center O.

And we can say the line segments OA, OB, OC and OD are the radius of the circle.

So we can say that diameter=2$ \times $radius.

Hence the center bisects the diameter into two parts which are known as radius.

So we can say that the statement is true.

Hence option A is the correct answer.

Note: Whenever we face such a type of a question the key concept for solving the question is you have to remember the definition of all the terms that are used in the question. By the help of these definitions you can easily get the answer.

As we know the definition of a circle is a shape consisting of all points in a plane that are a given distance from a given point, the center; equivalently it is the curve traced out by a point that moves in a plane so that its distance from a given point is constant.

And the diameter says a line segment whose endpoints lie on the circle and that passes through the center; this is the largest distance between any two points on the circle.

As we know from the above definition the diameter always passes through the center. And the line segment which joins center to the point on circumference is known as radius.

Now in the figure there are two diameters AB and CD which are passing through center O.

And we can say the line segments OA, OB, OC and OD are the radius of the circle.

So we can say that diameter=2$ \times $radius.

Hence the center bisects the diameter into two parts which are known as radius.

So we can say that the statement is true.

Hence option A is the correct answer.

Note: Whenever we face such a type of a question the key concept for solving the question is you have to remember the definition of all the terms that are used in the question. By the help of these definitions you can easily get the answer.

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