Question

the perimeter of square and circumference of circle are equal the area of square is 121m^2then area of circle is
a)7πm^2
b)14πm^2
c)21πm^2
f)49πm^2

Answer 1

Answer:

49π

Step-by-step explanation:

perimeter of square = 4s

circumference of circle = 2πr

given that perimeter of square is equal to circumference of circle

4s = 2πr

$4 \times s = 2 \times \frac{22}{7} \times r \\ r = \frac{s \times 4 \times 7}{22 \times 2} \\ r = \frac{7s}{11}$

area of square = s^2 = 121

${s}^{2} = 121 \\ s = \sqrt{121} = 11$

radius of circle

$= \frac{7s}{11} \\ = \frac{7 \times 11}{11} \\ = 7$

area of circle

$= \pi {r}^{2} \\ = \pi {(7)}^{2} \\ = 49\pi$

hope you get your answer