Question

A circle has area which is 100 times of area of another circle what is the ratio of their circumferences​

Answer 1

Answer:

1:100

Step-by-step explanation:

Because 1 circle is 100 times bigger hope it helps please mark as brainliest

Answer 2

Answer :

➥ The ratio of their circumferences = 10:1

Given :

➤ A circle has area which is 100 times of area of another circle

To Find :

➤ The ratio of their circumferences = ?

Solution :

Let the radius of 1st circle be "r₁"

and the radius of another circle be "r₂"

Area of 1st circle = πr₁²

Area of another circle = 100πr₂²

$\sf{: \implies \cancel{ \pi} {r_{1} }^{2} = 100 \times \cancel{ \pi } {r_{2} }^{2}}$

$\sf{: \implies {r_{1} }^{2} = 100 \times {r_{2} }^{2}}$

$\sf{: \implies r_{1} = \sqrt{100} \: r_{2}}$

$\sf{: \implies r_{1} = 10 \: r_{2} }$

Now ,

Ratio of their circumferences

$\sf{: \implies Ratio\: of \: circumference = \dfrac{ \cancel{2\pi} r_{1}}{ \cancel{2\pi} r_{2}} }$

$\sf{: \implies Ratio\: of \: circumference = \dfrac{r_{1}}{ r_{2}} }$

$\sf{: \implies Ratio\: of \: circumference = \dfrac{10r_{2}}{ r_{2}} }$

$\sf{: \implies Ratio\: of \: circumference = \dfrac{10}{ 1} = 10:1}$

$\sf{: \implies \green{\underline{ \overline{ \boxed{ \purple{ \bf{ \: \: 10: 1 \: \: }}}}}}}$

Hence, the ratio of their circumferences is 10:1.