Question

The circumference of a circle is equal to the
permeter of a square. If area of the square
154 cm. then find area of the circle​

Answer 1

Answer:

solved

Step-by-step explanation:

area of the square   = 154 cm².  = a² , a = √154

perimeter of circle = 4√154 = 2πr , r = 2√154/π

area of the circle​ = πr² = π(4*154/π²) =  4*154/π = 14² = 196 cm²

Answer 2

$\Huge{\red{\underline{\underline{\rm{Solution}}}}}$

$\blacksquare$ $\large\bold{\underline{\textsf{Given}}}$ - Circumference of circle=Perimeter of square.

i.e. 2πr=4 x side ------------ (1)

ALSO ,AREA OF SQUARE= {154 cm}^{2}

π = 3.14

NOW

$\blacksquare$ $\large\bold{\underline{\textsf{To\:Find}}}$-Area of the circle

_____Here we go____

Area = {side}^{2}

154 = {side}^{2}

side =√154

side =12.40 cm

Now ,using equation (1)

2πr=4 x 12.40

$r = \dfrac{4 \times 12.40}{3.14 \times 2}$

$r = \dfrac{2 \times 1240}{314}$

$r = 7.9 \: cm$

Now,

Area of circle = π{r}^{2}

Area = 3.14 {7.9}^{2}

Area = 3.14 x 15.8

Area = {49.61cm}^{2}

$\bold{\red{\underline{\underline{\rm{Area={49.61cm}^{2}}}}}}$