Question

If the perimeter of a circle is 88cm.what will bathe area of same circle​

Answer 1

Answer:

Area = 616.25cm ^2

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Answer 2

Answer :

Area of circle is 616 cm².

Solution :

Given :

• Perimeter of a circle is 88 cm.

To Find :

• Area of circle.

Let's solve,

$\red{\bigstar}\boxed{\sf Perimeter \:of\: circle = \: 2\pi r }$

Applying this formula here,

$\implies\sf 88 = 2\times \pi \times r\\\\\implies\sf 88 = 2\times \frac{22}{7} \times r\\\\\sf \implies r = \frac{88}{2}\times \frac{7}{22} \\\\\sf \implies r = 44 \times \frac{7}{22} \\\\\sf \implies r = \:^2 \cancel{44} \times \frac{7}{\cancel{22}} \\\\\implies\sf r = 2\times 7 \\\\ \sf \implies \overline{\boxed{\sf \pink{r = 14}}}$

We got the value of radius, r = 14

Now we can easily find the value of its area.

$\red{\bigstar}\boxed{\sf Area \:of\: circle = \: \pi r^2 }$

Using this formula here,

$\implies\sf Area \:of \: Circle = \pi r^2 \\\\ \implies\sf Area \:of \: Circle = \frac{22}{7} \times 14^2 \\\\ \implies\sf Area \:of \: Circle = \frac{22}{\cancel{7}} \times \: ^2 \cancel{14} \times 14 \\\\ \implies\sf Area \:of \: Circle = 22 \times 2 \times 14 \\\\ \implies\sf Area \:of \: Circle = \underline{\boxed{\sf \pink{616 cm^2}}}$

Hence,

Area of circle is 616 cm².

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