The expression that reprsent π is π = B/9.
The circumference of a circle or ellipse in geometry is its perimeter. That is, if the circle were opened up and straightened out to a line segment, the circumference would be the length of the arc.
The circumference of a circle is B inches and the radius of the same circle is 4.5 inches.
Now, the circumference of a circle is given as:
Circumference = diameter × π
Now, the radius of a circle is half of the diameter of the circle.
Diameter = 2 × radius
D = 2r
r = D/2
Therefore,
Circumference = D × π
Circumference = 2 × r × π
B = 2 × π × 4.5 inches
B = 9 inches × π
π = B/9
Hence, the expression for pi if the circumference of the circle is B inches is π = B/9.
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The complete equation is mentioned below:
The circumference of a circle is B inches. The radius of the same circle is 4.5 inches. Which expression best represents the value of π?