Question

If the circumference of the biggest of the concentric circles in the given image is
44
√
2

c
m
, what is the area of the portion of the square that is shaded red (in
c
m
2
)? (Take =
22
7
)​

Answer 1

Answer:42cm²

Step-by-step explanation: Circumference of Circle=2πR=44$\sqrt{2}$cm

so, R= $7\sqrt{2}$cm

from this we can say that, diameter of circle=diagonal of square

$14\sqrt{2} =\sqrt{2} side of square$

side of square= 14 cm

and also, side of square = diameter of smaller circle

radius of smaller circle = 7cm

now, area of portion of the square that is shaded red= area of square - area of circle

(14)²-π(7)²=196-154=42cm²

#SPJ3