Question

If the perimeter of square and circle are equal. The perimeter of square is 11 cm. Find the radius of circle

Answer 1

Answer:

1.7507043740108

Step-by-step explanation:

Given circumference (C) = 11

The Radius = C/2π = 11/2π = 1.7507043740108

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Answer 2

$\large\underline\mathfrak\red{Given \: :- }$

• Perimeter of square = Perimeter of circle
• Perimeter of square = 11 cm

$\large\underline\mathfrak\red{To \: find \: :- }$

• Radius of circle

$\large\underline\mathfrak\red{Solution \: :- }$

We know that,

• Perimeter of circle is also called circumference.
• According to the given information, if the perimeter of square is 11 cm then also circumference is 11 cm.

$\large\underline\mathfrak\green{Formula \: of \: circumference \: :- }$

$\large\boxed{\bf circumference = 2\pi r}$

Finding radius of circle

$\sf\implies{11 = 2 \times \frac{22}{7} \times r}$

$\sf\implies{11 = \frac{44}{7} \times r}$

$\sf\implies{ \frac{11 \times 7}{44} = r }$

$\sf\implies{r = \frac{77}{44} = \frac{7}{4} }$

$\sf\implies{r = 1.75cm}$

$\large\boxed{\sf\red{ Radius = 1.75cm }}$