Final answer:
The radius of the circle is approximately 12.1 units.
The area of the circle is approximately 459.88 square units.
The diameter is approximately 24.2 units.
Step-by-step explanation:
The circumference of a circle is given by the formula C = 2πr, where C is the circumference and r is the radius.
In this case, the circumference is given as 76 and the approximation for π is 3.14.
Therefore, we can rearrange the formula to solve for the radius: r = C / (2π).
Substituting the given values, we have r = 76 / (2 * 3.14)
≈ 12.1.
The diameter is twice the radius, so d = 2r.
Substituting the value of r, we have:
d ≈ 2 * 12.1
≈ 24.2.
The area of a circle is given by the formula A = πr². Substituting the value of r, we have:
A ≈ 3.14 * 12.1²
≈ 459.88.