Question

if the area of circle is 154 CM 5quare, its
perimeter is

nil 77E. uininn Uand

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Answer 1

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.

Answer 2

Answer:

Let the radius of circle be r cm.

Now the area of circle⇒πr² =154cm²

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

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

${r}^{2} = 49$

$r = 7$

Perimeter of the circle=Circumference

$= 2\pi \: r$

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

$= 44cm$

hope this helps you