Question

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

Answer 1

Answer:

$circumfence \: of \: circle \: = 17.6 \: cm$

$= > 2\pi \times r = 17.6$

$= > 2 \times \frac{22}{7} \times r = 17.6$

$= > r = 17.6 \times \frac{7}{2 \times 22}$

$= > r = 2.8cm$

$area = \pi \: {r}^{2}$

$= \frac{22}{7} \times 2.8 \times 2.8$

$= 24.64 {cm}^{2}$

Answer 2

Answer:

$area \: of \: circle \: is \: 28.63 {cm}^{2}$

Step-by-step explanation:

Given that

Circumference of circle is 17.6cm

To find area of circle

Solution

As we know that

$circumference \: of \: circle = 2\pi \times r \\ 17.6 = 2\pi \times r$

$r = \frac{17.6}{2\pi} \\ = 2.8cm$

here r is radius of circle

then

$area \: of \: circle = \pi \times {r}^{2} \\ = \pi \times {2.8}^{2} \\ = 28.63 {cm}^{2}$

hence area of circle is

28.63${cm}^{2}$