What is the circumference of a circle circumscribed about a square with a side length 24 m?
doesn't the diagonal of the square become the diameter of the circle?
so find the diameter by using Pythagoras,
then Circumference of circle = pi(diameter)
segment of a circle has a 120 arc and a chord of 8in. Find the area of the segment.
To find the circumference of a circle circumscribed around a square, we can make use of the relationship between the circle's circumference and its diameter.
In this case, the side length of the square is given as 24 m.
To determine the diameter of the circle, we can observe that the side of the square is equal to the diameter of the circle since the circle is circumscribed around the square. So, the diameter of the circle is also 24 m.
Now, to find the circumference of the circle, we can use the formula C = π * d, where C represents the circumference and d represents the diameter.
Substituting the value of the diameter, we have C = π * 24.
The value of π (pi) is approximately 3.14159.
Evaluating the expression, we get C ≈ 3.14159 * 24 ≈ 75.398 m.
Therefore, the circumference of the circle circumscribed around the given square with a side length of 24 m is approximately 75.398 m.