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Answer :
Final answer:
The constant of proportionality in this case is 3.14.
Explanation:
In a circle, the circumference is directly proportional to the radius. This means that if the radius is doubled, the circumference will also double, and if the radius is halved, the circumference will also halve. To find the constant of proportionality, we can use the formula:
C = 2πr
where C is the circumference and r is the radius. In this case, the circumference is given as 62.8 cm and the radius is 10 cm. Substituting these values into the formula:
62.8 = 2π(10)
Simplifying the equation:
62.8 = 20π
Dividing both sides of the equation by 20π:
constant of proportionality = 3.14
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