Question

3. A circle of area 314 cm is inscribed in a square. What is the perimeter of the
square?
(1-3.14)
(1) 28 cm (2) 40 cm (3) 80 cm (4) 100 cm
​

Answer 1

Answer:

40 cm is answer

Step-by-step explanation:

i hope this helps u

Answer 2

Answer:

$\huge \bold \pink {⋆ \: (3) 80 cm \: ⋆}$

Step-by-step explanation:

$Area \: of a \: circle = πr²</h2><h2> \\ 314 = 3.14 × r² \\ {r}^{2} = \frac{314}{3.14} \\ {r}^{2} = 100 \\ \bold{ \boxed {r = 10 \: cm}}$

$d = 2r \\ d = 2 \times 10 \\ \bold {d = 20} \: cm$

The side of square (l) which inscribe the circle is equal to the diameter (d) of the inscribed circle.

Therefore,

l = 20 cm

Now,

Perimeter of the square = 4l = 4×20 = 80 cm

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