Answer:
8 inches
Step-by-step explanation:
To find the diameter of Jayne's lollipop, we will use
the relationship between the circumference of a
circle and its diameter. The circumference (C) of a
circle is given by the formula C = [tex]\pi[/tex]d, where d is
the diameter of the circle and [tex]\pi[/tex] is a mathematical
constant representing the ratio of the circumference
of any circle to its diameter. We are given the
circumference and the value of [tex]\pi[/tex] to use, so we can
solve for the diameter.
Write down the formula for the circumference of a
circle in terms of the diameter:
C=[tex]\pi[/tex]d
Substitute the given values into the formula. We
are given C = 25.12 inches and [tex]\pi[/tex] = 3.14:
25.12 = 3.14 * d
Solve for the diameter d by dividing both sides
of the equation by [tex]\pi[/tex] (3.14):
d=25.12/3.14
Calculate the value of d using a calculator or by
hand division.
= 8 inches