3. A circle of area 314 cm is inscribed in a square. What is the perimeter of thesquare?(1-3.14)(1) 28 cm (2) 40 cm (3) 80 cm (4) 100 cm About the author Kinsley
Answer: [tex] \huge \bold \pink {⋆ \: (3) 80 cm \: ⋆}[/tex] Step-by-step explanation: [tex]Area \: of a \: circle = πr² \\ 314 = 3.14 × r² \\ {r}^{2} = \frac{314}{3.14} \\ {r}^{2} = 100 \\ \bold{ \boxed {r = 10 \: cm}}[/tex] [tex]d = 2r \\ d = 2 \times 10 \\ \bold {d = 20} \: cm[/tex] 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 I hope you understood this. Please føłłøw me if you find this answer helpful and mark me as Brainliest. Reply
Answer:
[tex] \huge \bold \pink {⋆ \: (3) 80 cm \: ⋆}[/tex]
Step-by-step explanation:
[tex]Area \: of a \: circle = πr²
\\ 314 = 3.14 × r² \\ {r}^{2} = \frac{314}{3.14} \\ {r}^{2} = 100 \\ \bold{ \boxed {r = 10 \: cm}}[/tex]
[tex]d = 2r \\ d = 2 \times 10 \\ \bold {d = 20} \: cm[/tex]
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
I hope you understood this. Please føłłøw me if you find this answer helpful and mark me as Brainliest.
Answer:
40 cm is answer
Step-by-step explanation:
i hope this helps u