Final answer:
The diameter of a circle with a circumference of 1133.54 is approximately 360.77, calculated by dividing the circumference by the constant pi (3.14159).
Step-by-step explanation:
The diameter of a circle can be found by using the relationship between the circumference and the diameter, which is expressed by the formula C = πd, where C is the circumference, π (pi) is approximately 3.14159, and d is the diameter.
To find the diameter, you can manipulate the formula to solve for d: d = C / π. Given that the circumference (C) of the circle is 1133.54, you divide this number by pi (approximately 3.14159) to get the diameter.
Now, let's calculate: d = 1133.54 / π. Using a calculator, you find that the diameter (d) is approximately 360.77.
Calculation Steps:
- Write down the circumference formula: C = πd.
- Rearrange the formula to solve for the diameter: d = C / π.
- Substitute the given circumference (1133.54) into the formula.
- Divide the circumference by π to find the diameter: d = 1133.54 / 3.14159 ≈ 360.77.