Question

if the area of circle is 154 CM square , its perimeter is​

Answer 1

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If the area of circle is 154 CM square , its perimeter is

$\sf\underline{\underline{\green{GIVEN \: }}}$

Area of circle = 154cm²

$\pi = \frac{22}{7}$

$\sf\underline{\underline{\green{FIND \: }}}$

perimeter of circle=?

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Let the radius of circle be r cm.

Now the area of circle⇒πr²=154cm²

$\frac{22}{7} \times r {}^{2} = 154 \: cm {}^{2}$

$r {}^{2} = \frac{154 \times 7}{22}$

$r {}^{2} = 49$

$r = 7cm$

Perimeter of the circle=Circumference

$= > 2\pi \: r$

$2 \times \frac{22}{7} \times 7$

$= > 44cm$

$\sf\underline{\underline{\green{THEREFORE, \: }}}$

44cm is the perimeter of circle.

Answer 2

Given :

• Area of Circle = 154 cm²

To find :

• Perimeter of Circle = ?

Formula required :

• Formula for Area of circle

     Area of circle = π r²

• Formula for perimeter of circle

    Perimeter of circle = 2 π r

[ Where r is the radius of circle ]

Calculation :

As given,

→Area of circle = 154 cm²

→ π r² = 154 cm²

→ r² = 154 / π

→ r² = 154 × 7 / 22

→ r² = 49

→ r = √49

→ r = 7 cm

Therefore,

Radius of Circle is 7 cm.

so,

→ Perimeter of circle = 2 π r

→ Perimeter of circle = 2 × 22/7 × 7

→ Perimeter of circle = 44 cm

Therefore,

• perimeter of the Circle would be 44 cms.