The area of a square is given by the formula A = s^2, where s is the side length of the square.
Given that the area of the square is 144 m^2, we can solve for the side length s:
144 = s^2
s = √144
s = 12 m
The diagonal of a square is related to its side length by the formula d = s√2. Using this formula, we can find the diameter of the circle, which is equal to the diagonal of the square:
d = 12√2 ≈ 16.97 m
The circumference of a circle is given by the formula C = πd, where d is the diameter.
C = π(16.97)
C ≈ 150.7 m
Therefore, the circumference of the circle is approximately 150.7 m.
Find the circumference of the circle if the square has an area of 144 m2. Give your answer to the nearest tenth. Use 3.14 for
150.7 m
75.4 m
452.2 m
37.7 m
1 answer