Math, asked by nagvekarnilesh537, 4 days ago

solve the question (Please help me)​

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Answers

Answered by Teluguwala
8

{\huge{\textbf{\textsf{{\color{navy}{♡ Sol}}{\purple{uti}}{\pink{ons ♡}}}}}}

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❶. Appropriate Question :

If the Length and Breadth of a Rectangle are Doubled, How many times the Perimeter of the Old Rectangle will that of the New Rectangle be?

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Solution :

Given :

The Length and Breadth of a Rectangle are Doubled.

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To Find :

How many times the Perimeter of the Old Rectangle will that of the New Rectangle be?

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Used Formula :

 \large\bf \red⇝ \: Perimeter \:  _{(Rectangle)} = 2 (l+b)

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Step-by-step Explanation :

Here,

Old rectangle,

  • Length = l
  • Breadth = b
  • Perimeter = 2 (l+b)

Now,

The length and the breadth of the rectangle are doubled.

Then,

New rectangle,

  • Length = 2l
  • Breadth = 2b

∴ Perimeter = 2 (l+b)

\bf ⟹ \:  2 \: (2l+2b)

\bf ⟹ \: 2 × 2 \: (l+b)

 \bf ⟹ \: 2 × Old  \: rectangle

{ \large \red{⟹  \:  \underline{\boxed {\textbf{\textsf{{ \red{Old \:  rectangle   \: = \:  2 \: (l+b)}}}}}}}}

Hence,

❝ The perimeter of the new rectangle will become two times the perimeter of the old rectangle.❞

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❷. Appropriate Question :

If the Circumference of the Circle is 176cm. Find its Radius and Diameter ?

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Solution :

Given :

The circumference of circle is 176cm

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★ To Find :

Radius and Diameter of a circle ?

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Used Formula :

\large \bf \red⇝ \: Circumference = 2 \pi r

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Step-by-step Explanation :

Here,

The circumference of a circle is 176cm

We know that,

\large \bf ⟹ \: Circumference = 2 \pi r

Where,

  • r = Radius

Now,

 \bf ⟹ \: 176cm= 2 \pi r

 \displaystyle\bf ⟹ \: 176cm= 2 \times   \frac{22}{7}  \times  r

\displaystyle\bf ⟹ \: 176cm=  \frac{44}{7}  \times  r

\displaystyle\bf ⟹ \: 176 \times 7=  44 \times  r

\displaystyle \bf ⟹ \: 1232=  44 \times  r

\displaystyle\bf ⟹ \:    \cancel\frac{1232}{44}  \: 28=  r

{ \large \red{⟹  \:  \underline{\boxed {\textbf{\textsf{{ \red{r \:  = 28}}}}}}}}

∴ Radius = 28cm

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We know that,

 \bf  \red⇝ \: Diameter = 2 × Radius

 \bf  ⟹ \: Diameter = 2 × Radius

 \bf  ⟹ \: Diameter = 2 × 28

{ \large \red{⟹  \:  \underline{\boxed {\textbf{\textsf{{ \red{Diameter = 56cm}}}}}}}}

∴ Diameter = 56cm

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Hence,

❝The Radius and Diameter of the circle is 28cm and 56 cm

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# Thank you ❣️

Answered by MissQueenOfFashion
19

Step-by-step explanation:

Hence,

Hence,❝The Radius and Diameter of the circle is 28cm and 56 cm❞

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