Question

Find the area of a circle whose circumference is 52.8 centimetres.​

Answer 1

Given :-

• Shape = circle
• Circumference of circle = 52.8cm

To Find :-

• The Area of the circle

Solution :-

⟹ Circumference of Circle = 2πr

⟹ 52.8 = 2 × 22/7 × Radius

⟹ 52.8 ÷ 2 = 22/7 × Radius

⟹ 26.4 = 22/7 × Radius

⟹ 26.4 × 7 ÷ 22 = Radius

⟹ 184.8 ÷ 22 = Radius

⟹ 8.4cm = Radius

Now,

⟹ Area of Circle = πr²

⟹ Area of Circle = 22/7 × (8.4)²

⟹ Area of Circle = 22/7 × 70.56

⟹ Area of Circle = 22 × 10.08

⟹ Area of Circle = 221.76cm²

Therefore,Area of Circle =221.76cm²

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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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Answer 2

Question :

Find the area of a circle whose circumference is 52.8 centimetres.

Answer :

$\sf\pink{Given:}$

• circumference is 52.8 cm .

$\sf\pink{To\: find:}$

• Area of the circle = ?

Explanation :

Circumference = 2πr

$\longrightarrow\bf{52.8 =2\times\dfrac{22}{7}\times r}$

$\longrightarrow\bf{52.8 = \dfrac{44}{7}\times r}$

$\longrightarrow\bf{52.8\times \dfrac{7}{44} = r}$

$\longrightarrow\bf{\dfrac{369.6}{44} = r}$

$\longrightarrow\bf{8.4 = r}$

• Therefore the radius is 8.4 cm

Area of circle = πr²

$\longrightarrow\bf{\dfrac{22}{7}\times 8.4\times 8.4}$

$\longrightarrow\bf{22\times 1.2\times 8.4}$

$\longrightarrow\bf{26.4\times 8.4}$

$\longrightarrow\bf{221.76}$

• Therefore the area of the triangle is 221.76 cm²