Answer:
12.66 cm
Step-by-step explanation:
Area of the circle = 125.8 Sq cm
[tex] \therefore \: \pi {r}^{2} = 125.8 \\ \\ \therefore \: 3.14 \times {r}^{2} = 125.8 \\ \\ {r}^{2} = \frac{125.8}{3.14} \\ \\ {r}^{2} = 40.0636943 \\ \\ {r} = \sqrt{40.0636943} \\ \\ r = 6.32958879 \\ \\ r \approx \: 6.33 \: cm \\ \\ d \: = 2r \\ \\ d = 2 \times 6.33 \\ \\ d = 12.66 \: cm \\ [/tex]
Diameter of the circle = 12.66 cm
Since, circumference of the circle touches each of the four sides of the square.
So, length of the sides of the square
= diameter of the circle.
= 12.66 cm
