Question

a length 550cm of a thin thread wraps around a cylinder exactly 25times calculate tje circumference and the radius of the cylinder (take pie to be twenty two over seven​

Answer 1

$\huge\sf\pink{Answer}$

☞ Circumference = 22 cm

☞ Radius = 3.5 cm

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$\huge\sf\blue{Given}$

✭ Length of the thread is 550 cm

✭ Number of times wraps around a cylinder is 25

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$\huge\sf\gray{To \:Find}$

◈ The circumference and radius of the circle?

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$\huge\sf\purple{Steps}$

So we know that if the thread wraps around the circle exactly 25 times,so then,

$\underline{\boxed{\sf Length = Wraps \times Circumference}}$

• Wraps = 25
• Length = 550

Substituting the given values,

➝ $\sf Length = Wraps \times Circumference$

➝ $\sf Circumference = \dfrac{Length}{Wraps}$

➝ $\sf Circumference = \dfrac{550}{25}$

➝ $\sf \red{Circumference = 22 \ cm}$

So now radius of the circle will be,

$\underline{\boxed{\sf Circumference = 2\pi r}}$

• Circumference = 22 cm
• π = ²²/7

Substituting the values,

➳ $\sf Circumference = 2\pi r$

➳ $\sf 22 = 2\times \dfrac{22}{7} \times r$

➳ $\sf 22\times \dfrac{7}{44} = r$

➳ $\sf \dfrac{7}{2} = r$

➳ $\sf \orange{Radius = 3.5 \ cm}$

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Answer 2

Answer

☞ Circumference = 22 cm

☞ Radius = 3.5 cm

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$</p><p>\huge\sf\orange{Given}$

✭ Length of the thread is 550 cm

✭ Number of times wraps around a cylinder is 25

━━━━━━━━━━━━━

$\huge\sf\pink{To \:Find}$

◈ The circumference and radius of the circle?

━━━━━━━━━━━━━

$\huge\sf\purple{Steps}$

So we know that if the thread wraps around the circle exactly 25 times,so then,

$\underline {\boxed{\sf Length = Wraps \times Circumference}}$

Length=Wraps×Circumference

• Wraps = 25
• Length = 550

Substituting the given values,

➝

$\</p><p> Circumference \: Length=Wraps×Circumference</p><p>$

$➝ \sf Circumference = \dfrac{Length}{Wraps} \\ </p><p>$

$➝ \sf Circumference = \dfrac{550}{25}</p><p> </p><p>$

$➝ \sf \green{Circumference = 22 \ cm}$

So now radius of the circle will be,

$\underline{\boxed{\sf Circumference = 2\pi r}} </p><p>$

Circumference = 22 cm

$π = ²²/7$

Substituting the values,

$➳ \sf Circumference = 2\pi r \\ </p><p></p><p>➳ \sf 22 = 2\times \dfrac{22}{7} \times r$

$➳ \sf 22\times \dfrac{7}{44} = r$

$➳ \sf \dfrac{7}{2} = r </p><p>$

$➳ \sf \blue{Radius = 3.5 \ cm}$

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