Question

Find the area of a circle with a circumference of
6.28 units.

Answer 1

Question

Find the area of a circle with a circumference of 6.28 units.

Solution

Given:-

• Circumference of circle = 6.28 units

Find:-

• Area of circle .

Explanation

Using Formula

★ Circumference of circle = 2πr

★ Area of circle = πr²

So,

==> Circumference of circle = 2πr

==> 6.28 = 2πr

==> r = 6.28/2π

==> r = 3.14/π

Now, calculate area of circle

==> Area of circle = πr²

Keep value of Radius(r)

==> Area of circle = π * 3.14/π

==> Area of circle = 3.14 units ²

Hence

• Required Area of circle will be 3.14 units ²

_________________

Answer 2

✬ Area of circle = 3.14 sq units ✬

Step-by-step explanation:

Given:

• Circumference of circle is 6.28 units.

To Find:

• What is the area of circle ?

Solution: We know that the circumference of a circle :-

★ Circumference of circle = 2πr ★

• Taking π = 22/7

A/q

$\implies{\rm }$ 6.28 = 2πr

$\implies{\rm }$ 628/100 = 2 $\times$ 22/7 $\times$ r

$\implies{\rm }$ 628/100 = 44/7 $\times$ r

$\implies{\rm }$ 628/100 $\times$ 7/44 = r

$\implies{\rm }$ 4396/4400 = r

$\implies{\rm }$ 0.999 or 1 = r

Therefore, area of circle will be:-

★ Area of circle = πr² ★

$\implies{\rm }$ 22/7 $\times$ (1)²

$\implies{\rm }$ 22/7

$\implies{\rm }$ 3.14 sq units

Hence, The area of circle will be 3.14 sq units.