Question

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Answer 1

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Given:

If the area of a circle is 154cm².

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The perimeter of circle.

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We know that formula of the area of circle: πr²    [sq. units]

→ πr² = 154cm²

→ $\frac{22}{7} *r^{2} =154cm^{2}$

→ r² = $\frac{\cancel{154}*7}{\cancel{22}}$

→ r² = (7×7)cm²

→ r² = 49cm²

→ r = √49 cm²

→ r = 7cm

Now,

• Perimeter of the circle;

⇒ Circumference of circle = 2πr

⇒ Circumference of circle = 2 × 22/7 × 7

⇒ Circumference of circle = 44cm.

Answer 2

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Given ,

The area of circle = 154 cm²

We know that , the area of circle is given by

$\underline{ \large \sf \fbox{Area \: of \: circle = \pi {(r)}^{2} }}$

Substitute the values , we obtain

$\sf \hookrightarrow 154 = \frac{22}{7} \times {(r)}^{2} \\ \\ \sf \hookrightarrow {(r)}^{2} = \frac{1078}{22} \\ \\ \sf \hookrightarrow r = \sqrt{49} \\ \\\sf \hookrightarrow r = 7 \: \: cm$

Hence , the radius of circle is 7 cm

Now , the perimeter of circle is given by

$\underline{ \large \sf \fbox{Perimeter \: of \: circle = 2\pi r}}$

Substitute the values , we obtain

$\sf \hookrightarrow Perimeter = 2 \times ( \frac{22}{\cancel 7} ) \times \cancel 7 \\ \\\sf \hookrightarrow Perimeter = 44 \: \: cm$

Hence , the perimeter of circle is 44 cm