Question

The area of circle is 12474sq2 find its diameter.

Answer 1

A n s w e r

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G i v e n

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• Area of circle is 12474 sq. units

F i n d

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• Diameter of circle

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S o l u t i o n

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We know that ,

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

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➠ A = πr² ⚊⚊⚊⚊ ⓵

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Where ,

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• A = Area of circle

• r = Radius of circle

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$\underline{ \underline{\bold{\texttt{For given circle :}}}}$

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• A = 12474 sq. units

• r = r

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⟮ Putting the above values in ⓵ ⟯

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: ➜ A = πr²

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: ➜ $\sf 12474 = \dfrac { 22 } { 7 } \times r ^2$

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: ➜ $\sf \dfrac { 12474 } { 22 } = \dfrac { 1} { 7 } \times r ^2$

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: ➜ $\sf 567 = \dfrac { 1} { 7 } \times r ^2$

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: ➜ $\sf 567 \times 7 = r ^2$

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: ➜ $\sf 3969 = r ^2$

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: ➜ $\sf r = \sqrt { 3969 }$

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: ➜ r = 63 units

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• Hence the radius of the given circle is 63 units

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Also we know that ,

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: ➜ Diameter = Radius × 2

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So,

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: ➜ Diameter = 63 × 2

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: : ➨ Diameter = 126 units

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• Hence the diameter of circle is 126 units

Answer 2

A n s w e r

$\:\:$

G i v e n

$\:\:$

• Area of circle is 12474 sq. units

F i n d

$\:\:$

• Diameter of circle

$\:\:$

S o l u t i o n

$\:\:$

We know that ,

$\:\:$

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

$\:\:$

➠ A = πr² ⚊⚊⚊⚊ ⓵

$\:\:$

Where ,

$\:\:$

• A = Area of circle
• r = Radius of circle

$\:\:$

$\underline{ \underline{\bold{\texttt{For given circle :}}}}$

$\:\:$

A = 12474 sq. units

r = r

$\:\:$

⟮ Putting the above values in ⓵ ⟯

$\:\:$

: ➜ A = πr²

$\:\:$

: ➜ $\sf 12474 = \dfrac { 22 } { 7 } \times r ^2$

$\:\:$

: ➜ $\sf \dfrac { 12474 } { 22 } = \dfrac { 1} { 7 } \times r ^2$

$\:\:$

: ➜ $\sf 567 = \dfrac { 1} { 7 } \times r ^2$

$\:\:$

: ➜ $\sf 567 \times 7 = r ^2$

$\:\:$

: ➜ $\sf 3969 = r ^2$

$\:\:$

: ➜ $\sf r = \sqrt { 3969 }$

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: ➜ r = 63 units

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Hence the radius of the given circle is 63 units

$\:\:$

Also we know that ,

$\:\:$

: ➜ Diameter = Radius × 2

$\:\:$

So,

$\:\:$

: ➜ Diameter = 63 × 2

$\:\:$

: : ➨ Diameter = 126 units

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Hence the diameter of circle is 126 units