Question

Find the area of a circle whose circumference is same as the perimeter of a square of side 88cm.


koi answer batao na..plz​

Answer 1

Answer:

9856 square cm

Step-by-step explanation:

perimeter of a square =88(side)×4=352

• perimeter of circle (circumference)=perimeter of square ...(given)
• circumference=352
• c=2πr
• c=2×22/7×r
• 352=2×22/7× R
• R=352×7 / 2×22

=56 cm

• area of a circle =πr square
• area of a circle =πr square= 22/7× 56×56
• area of a circle =πr square= 22/7× 56×56= 9856 square cm

area of the circle is 9856 square cm (cm square)

Answer 2

$\huge{\blue{\bold{\underline{\underline{Answer :}}}}}$

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$\large\underline{\green{\bf Given :-}}$

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• Circumference of circle is same as the perimeter of a square

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• Side of square = 88 cm

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$\large\underline{\red{\bf To \: Find :-}}$

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• Area of a circle

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$\large\underline{\orange{\bf Solution :-}}$

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$\underline{\bold{\texttt{Perimeter of square :}}}$

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➠ 4(Side) ⚊⚊⚊⚊ ⓵

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$\underline{\bold{\texttt{Perimeter of given square :}}}$

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• Perimeter = Perimeter

• Side = 88 cm

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Putting these values in ⓵

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➜ 4(Side)

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➜ 4(88)

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➨ 352 cm ⚊⚊⚊⚊ ⓶

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• Hence the perimeter of square is 352 cm

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$\underline{\bold{\texttt{Circumference of circle :}}}$

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➠ 2πr ⚊⚊⚊⚊ ⓷

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Given that circumference of circle is same as the perimeter of a square

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⟮ So, from ⓶ & ⓷ we get ⟯

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➜ 2πr = 352

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➜ πr = 176

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➜ $\sf \dfrac { 22 } { 7 } × r = 176$

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➜ $\sf \dfrac { 1 } { 7 } × r = \dfrac { 176 } { 22 }$

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➜ $\sf \dfrac { 1 } { 7 } × r = 8$

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➜ r = 8 × 7

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➨ r = 56 cm

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• Thus the radius of circle is 56 cm

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$\underline{\bold{\texttt{Area of circle :}}}$

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➠ πr² ⚊⚊⚊⚊ ⓸

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Where,

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• r = Radius of circle

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$\underline{\bold{\texttt{Area of given circle :}}}$

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• r = 56 cm

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Putting the above value in ⓸

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➜ πr²

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➜ π(56)²

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➜ $\sf \dfrac { 22 } { \cancel 7 } × \cancel { 56} × 56$

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➜ 22 × 8 × 56

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➜ 176 × 56

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➨ 9856 sq. cm.

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• Hence the area of circle is 9856 sq. cm.

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