Question

Find the area of circle , whose circumference is 5.28m.​

Answer 1

$\Large{\underbrace{\underline{\sf{Understanding\; the\; Question}}}}$

Here, in this question we have given the circumference of the circle to be 5.28m and we have to find the area of circle. So, inorder to find area we have to first find the radius of the given circle.

$\rule{250}{2}$

So let's find the radius first!

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

$\sf{5.28m=2\times\dfrac{22}{7}\times r}$

$\sf{5.28m\times \dfrac{7}{2\times22}= r}$

$\sf{\cancel{5.28m\times \dfrac{7}{2\times22}}= r}$

$\underline{\boxed{\sf{8.4m=r}}}\star$

$\rule{250}{2}$

Now, we have to find area.

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

$\sf{Area\:of\:circle=\dfrac{22}{7}\times8.4\times8.4m^{2}}$

$\sf{Area\:of\:circle=\cancel{\dfrac{22}{7}\times8.4\times8.4m^{2}}}$

$\sf{Area\:of\:circle=221.76m^{2}}$

∴The required area of circle is 221.76m².

Answer 2

Given :-

• Shape = Circle
• Circumference of Circle = 5.28m

To Find :-

• The Area of the Circle

Solution :-

➞ Circumference of Circle = 2πr

➞ 5.28 = 2 × 22/7 × Radius

➞ 5.28 ÷ 2 = 22/7 × Radius

➞ 2.64 = 22/7 × Radius

➞ 2.64 × 7 ÷ 22 = Radius

➞ 18.48 ÷ 22 = Radius

➞ 0.84m = Radius

Therefore, Radius of the Circle is 0.84m

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➞ Area of Circle = πr²

➞ Area of Circle = 22/7 × (0.84)²

➞ Area of Circle = 22/7 × 0.84 × 0.84

➞ Area of Circle = 22 × 0.7056 /7

➞ Area of Circle = 15.5232/7

➞ Area of Circle = 2.21m²

Therefore, Area of the Circle is 2.21m²

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★ Additional Info :

Formulas Related to Circle :

• Circumference of Circle = 2πr
• Area of Circle = πr²
• Diameter of Circle = 2r
• Radius of Circle = D/2

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