Question

The circumference of a circle is 110 cm. Find its area.

Answer 1

Given:-

Circumference of circle=110cm

To find

The area of circle

Now

A.T.Q:-

First find the radius of circle

$\underline{\bigstar{\sf{Circumference\:of\: circle=2 \pi r}}}$

Now the radius of circle

$\sf\implies 2 \pi r=110\\ \\ \sf\implies 2\times \dfrac{22}{7}\times r=110\\ \\ \sf\implies 44\times r=110\times 7\\ \\ \sf\implies r=\cancel{\dfrac{770}{44}}\\ \\ \sf\implies r=17.5cm$

Now the Area of circle

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

$\sf\implies Area\:of\: circle=\dfrac{22}{\cancel7}\times 17.5\times \cancel{17.5}\\ \\ \sf\implies Area \:of\: circle= 22\times 17.5\times 2.5\\ \\ \sf\implies Area\:of\: circle=962.5cm{}^{2}$

$\underline{\dag{\sf{Area\:of\:circle=962.5cm{}^{2}}}}$

Answer 2

Answer:

area of circle is 962.5 cm²

Step-by-step explanation:

Given that circumference of circle is 110 cm.

=> 2πr = 110

=> 2 × 22/7 × r = 110

=> r = (110 × 7)/(2 × 22)

=> r = 17.5 cm

Now, we know that,

Area of circle = πr²

=> Area of circle = 22/7 × 17.5 × 17.5

=> Area of circle = 962.5 cm²

Therefore, area of circle is 962.5 cm²