Question

if the area of a circle is 49pi sq.units then its perimeter is​

Answer 1

Answer:

44 units

Step-by-step explanation:

Given area of circle = 49π sq. units

Let the radius of the circle be r. Then it area = πr².

This means πr² = 49π or r² = 49 or r² = 7² or r = 7 units.

Thus, its perimeter = 2πr = (2*22*7)/7 = 2*22 = 44 units.

Answer 2

The perimeter of a circle is 43.96 units.

Given:

The area of a circle is 49pi sq. units.

To Find:

The perimeter.

Solution:

To find the perimeter we will follow the following steps:

As we know,

The area of the circle is given by the formula:

$\pi {r}^{2}$

Here, r is the radius.

Now,

It is given that area is 49pi sq. units, so on putting the value we get,

$49\pi = \pi {r}^{2}$

$49 = {r}^{2}$

$r = \sqrt{49} = 7 \: unit$

Now,

The perimeter of the circle is given by the formula =

$2\pi \: r$

On putting the radius value in the above formula we get,

$2 \times \pi \: \times 7 = 14\pi \: units = 43.96 \: units$

Henceforth, the perimeter of a circle is 43.96 units.

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