the circumference of a circle is less than three times the length of the diameter.

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Circumference of a circle is always

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Question

Circumference of a circle is always

A

more than three times of its diameter

B

three times of its diameter

C

less than three times of its diameter

D

three times of its radius.

Easy Open in App Solution Verified by Toppr

Correct option is A)

Option (a) is correct.

As we know [bat Circumference of a circle 2×3.14×r

⇒circumference=3.14×d

Therefore, Circumference of a circle is more than three of its diameter.

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Circumference of a circle is always little more than class 8 maths CBSE

Circumference of a circle is always little more than the diameter

Circumference of a circle is always little more than _______ the diameter.

Answer Verified 95.4k+ views

Hint: In order to this question, to know the formula of circumference of a circle with respect to diameter, we should go through the actual meaning of circumference and then we will also explain the formula of the circumference of a circle,

Circumference=π×d Circumference=π×d .

Complete step-by-step answer:

As we know the formula to find the circumference of a circle-

Circumference=π×d Circumference=π×d Here, d d

is the diameter of a circle.

and π≈3.14 π≈3.14 (fixed value).

Circumference of a circle is always little more than 3 times the diameter.

Circumference is approximately little more than 3 times the diameter.

Circumference of the circle or perimeter of the circle is the measurement of the boundary of the circle. Whereas the area of the circle defines the region occupied by it. If we open a circle and make a straight line out of it, then its length is the circumference.

In the aspect of radius-

The formula of circumference of a circle is:.

∴Circumference=2πr ∴Circumference=2πr

As we know, double the radius is equal to a diameter or

d=2r d=2r .

Note: Now a question arises here that what is the difference between area and the circumference of any circle? So, as we know, area is the measurement of the whole region of a circle including the surface area of a circle, whose formula is

area=π r 2 area=πr2

. Whereas, circumference is only the length of the boundary of the circle, whose formula is

circumference=πd circumference=πd . Read More

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