Final answer:
Given the circumference 'b' and radius 4.5 inches of a circle, the value of π is obtained by dividing 'b' by twice the radius (2*4.5=9), resulting in π = b/9.
Step-by-step explanation:
The question is asking to find the value of π (pi) given that the circumference of a circle is 'b' inches and the radius is 4.5 inches. From the formula for the circumference of a circle, C = 2πr, we can substitute the given values to find π.
Using the given radius of 4.5 inches, we have b = 2π(4.5). To find the value of π, we divide both sides of the equation by 9, resulting in π = b/9. Therefore, the correct answer is a. π = b/9.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 'b' inches and the radius is 4.5 inches. Using the formula, we can solve for the value of π.C = 2πb = 2π(4.5)b = 9πTo solve for π, divide both sides of the equation by 9.π = b/9Therefore, the value of π is given by the equation π= b/9, option a.