Question

x is the radius of the circle, if the diameter increased by 2 units, then write the perimeter of circle in the form of x.

Answer 1

$\large{\sf{Question}}$


x is the radius of the circle, if the diameter increased by 2 units, then write the perimeter of circle in the form of x.


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$\large{\sf{Answer}}$


Circumference = 6.28x + 3.14

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$\huge \pink{ \mid \underline{ \overline{ \sf Brainly \: Solution :}} \mid}$


$\sf Given \: \\ \sf Radius \: of \: Circle = \underline{ x } \\ \sf Diameter \: of \: Circle = 2 \times Radius \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf= \underline{2x}\\ \\ \sf \large ATQ \\ \sf New \: Diameter = Old \: Diameter + 2 \: units \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf= \underline{2x + 2} \\ \\ \mathscr{ Perimeter \: of \: Circle = Circumference \: of \: Circle } \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf= 2\pi r \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \boxed{ \sf As \: we \: know \: that \: 2r = d} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf\: = \pi d \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf \: = 3.14 \times (2x + 2 )\\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf \: = 6.28x + 3.14$


$\huge \orange{ \boxed{ \boxed{ \sf{ \therefore Circumference = 6.28x+3.14}}}}$


✔✔ Hence, it is solved ✅✅.


$\huge \green{ \boxed{ \boxed{ \mathscr{THANKS}}}}$

Answer 2

Question:

x is the radius of the circle, if the diameter increased by 2 units, then write the perimeter of circle in the form of x.

Answer:

The Perimeter/Circumference of the circle in the form of x = 6.28x + 6.28 unit.

Step by step solution:

Radius of circle = x

Diameter of circle = Double of radius = 2x

According to the question,

The diameter is increased by 2 units.

So,

The new diameter = 2x + 2

Perimeter/Circumference of the circle = 2πr

= π × (new diameter)

= π(2x + 2)

= 3.14(2x + 2)

= 6.28x + 6.28

Therefore, the Perimeter/Circumference of the circle in the form of x = 6.28x + 6.28 unit.