Question

if the perimeter of a circle is 154cm then what is its area​

Answer 1

Answer:

perimeter of circle is

$2\pi \times r$

area of circle is

$\pi \times r \times r$

therefore

Step-by-step explanation:

2×22/7×r=154

=44/7×r=154

r=154×7/44

r=49/2

area of circle is 22/7×49/2×49/2

=22/7×2401/4

=18.865cm²

Answer 2

Given :

⬤ Perimeter of Circle is 154 cm .

To Find :

⬤ Area of Circle .

Formula Used :

$\bf[\:{Perimeter \: of \: Circle = 2 \pi{r}}\:]$

• r = radius

Solution :

According to the Formula :-

154 = 2πr

154 = 2 × 22/7 × r

154 × 7 = 2 × 22 × r

1078 = 44r

1078/44 = r

24.5 = r

Therefore , The Radius of Circle is 24.5 cm .

Formula Used :

$\bf[\:{Area \: of \: Circle = \pi{r}^{2}}\:]$

Now :

According to the Formula :-

πr²

22/7 × 24.5 × 24.5

22 × 35 × 245/100

188650/100

1886.50

Therefore , The Area of Circle is 1886.50 cm .