Question

The circumference of a quarter is approximately 7.54 mm. What is its diameter to the nearest tenth of a millimeter? (π = 3.14)

Answer 1

2.40mm

Explanation:

In this problem. we are required to solve for the diameter of a circle.

Given data

circumference of circle c= 7.54mm

we know that the expression for the circumference is given as

c= 2πr

We can substitute our given data to solve for r

7.54= 2*3.142*r

7.54=6.284*r

divide both sides by 6.284 we have

r= 7.54/6.284

r= 1.199

diameter = 2*r

diameter= 1.199*2

diameter= 2.399

to the nearest tenth

diameter= 2.40mm