Question

The circumference of a circle is 17.6 cm. Find the area of the circle. ​

Answer 1

Answer:

circumference=2πr

2πr = 17.6

πr = 8.8

r= 8.8/π

area = πr²

=8.8/π

=π×8.8/π×8.8/π

=77.44/π

π=22/7

24.64

so area is 24.64

Answer 2

Answer:

Area of circle is 24.61 ${cm}^{2}$

Step-by-step explanation:

Given -

Circumference of circle is 17.6 cm

To find -

The area of circle

Solution -

As we know that,

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

Put the given values in these formula we get

$17.6 = 2\pi \times r$

$\frac{17.6}{2\pi} = r$

$\frac{8.8}{\pi} = r$

The value of π is 3.14 .

$\frac{8.8}{3.14} = r$

$r = 2.8$

So,

Radius (r) is 2.8 cm.

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

Put the value of r we get

Area of circle = $\pi \times {2.8}^{2}$

Square means multiply the given values with itself twice.

Square of 2.8 is 7.84

Area of circle = $\pi \times 7.84$

The value of π is 3.14.

Area of circle = $3.14 \times 7.84$

Area of circle = $24.61$

Hence,

Area of circle is 24.61 ${cm}^{2}$