Question

circumference (c) of a circle is directly proportional to its radius (r)

Answer 1

HEY BUDDY..!!

HERE'S THE ANSWER..

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♠️ To prove :- Circumference (c) of a circle is directly proportional to its radius (r)

⏺️ We know circumference ( c ) = 2 π r

=> c = 2 π r

⏺️ We know 2 π is a constant let suppose k

=> c = k r

$c \: \infty \: r$

▶️ Hence proved .


HOPE HELPED..

$\bf{ JAI \: HIND }$

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Answer 2

Answer: The explanation is given below.

Circumference of a Circle: The definition of the term "circumference" is the distance that is travelled around a curved geometric shape, such as a circle. It is the linear measurement of the boundary that may be taken across any two-dimensional circular surface and has only one dimension.

Step-by-step explanation:

Step 1: The given data:-

The radius of circle = r

The circumference of circle = c

Step 2: The relation between r and c:

We know the circumference of circle is given by the formula,

c = 2 X π X r

where r is the radius of circle and 2π is constant, let it equal to a

Therefore,

c = a X r

c ∝ r

Therefore, this means circumference is directly proportional to radius of circle.

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