Respuesta :

Answer: 6.25π in²

Step-by-step explanation: To find the area of the circular coaster, we can apply the formula for a circle's area:

[tex]Area = \pi r^{2}[/tex]

The radius always is half the value of the diameter. Given a diameter of 5, we can divide by 2 to find that the radius is 2.5. Now, we plug this into the area formula:

[tex]Area = \pi (2.5)^{2} \\= 6.25\pi[/tex]

Therefore, the area of the coaster is 6.25π in².