The quarter’s diameter is equal to 1.152 inch.
Given the following data:
- Circumference of a quarter = 2.88 in.
To determine the quarter’s diameter:
How to calculate the diameter.
Mathematically, the circumference of a quarter is given by this formula:
[tex]C = 2r + \frac{\pi r}{2}[/tex]
Where:
Substituting the given parameters into the formula, we have;
[tex]2.88 = 2r + \frac{3 r}{2}\\\\5.76=4r+6r\\\\5.76=10r\\\\r=\frac{5.76}{10}[/tex]
r = 0.576 in.
For the diameter:
[tex]Diameter = 2r\\\\Diameter = 2 \times 0.576[/tex]
Diameter = 1.152 in.
Read more on circumference here: brainly.com/question/14478195
