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

ANSWER

Given,

Actual Radius,r = x

And, actual diameter,d1 = 2x

Since, Diameter = 2 × radius.(2r)

So,

According to the question=>>

New diameter,d2 = 2x + 2

Perimeter of a circle is actually called the the Circumference of an circle.

Hence, Circumference= 2πr

Hence,on putting the values =>

Circumference = 2r × π

=>Circumference = d2 ×π

=>Circumference =( 2x +2 )3.14

=>Circumference = 3.14 + 6.28x

Hence the Circumference or perimeter of the new circle formed is 3.14 + 6.28x.

Remember

Perimeter of circles= Circumference of circles= 2 π ×r where 'r' is radius.

Area of circle= πr^2