Question

The area of a circle is 38.5cm2.The circumference of the circle is

Answer 1

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▶Area of Circle=> πr²
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➙ 38.5 cm = 22 / 7 × r²

➙ 269.5 = 22 r²

➙ 12.25 = r²

➙ 3.5 = r

▶Circumference of Circle => 2πr
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➙ 2 × 22 / 7 × 3.5

➙ 22 / 7 × 7

➙ 22 cm...✔

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Answer 2

Answer:

Circumference of circle is 21.98 cm.

Step-by-step explanation:

As per given information ,

Area of circle is 38.5 ${cm}^{2}$

We have to find out the perimeter of circle.

As we know that,

Area of circle $= \pi {r}^{2}$

Put the given values in the formula we get

$38.5 = \pi {r}^{2}$

$\frac{38.5}{\pi} = {r}^{2}$

The value of π is 3.14 .

$\frac{38.5}{3.14} = {r}^{2}$

${r}^{2} = 12.26$

When square is shift from left to right side it becomes square root.

$r = \sqrt{12.26}$

The square root of 12.26 is 3.5 .

r = $3.5$

Radius = r = 3.5 cm

Circumference of circle = $2 \times \pi \times r$

Put the value of r ,

Circumference of circle = $2 \times \pi \times 3.5$

Circumference of circle = $7 \times \pi$

Put the value of π = 3.14

Circumference of circle = $7 \times 3.14$

Circumference of circle = $21.98$

Hence,

Circumference of circle is 21.98 cm.