Question

The formula C=3.14d can be used to approximate the circumference of a circle given its diameter. Company A manufactures and sells a certain washer with an outside circumference of 10 centimeters. The company has decided that a washer whose actual circumference is in the interval 9.8≤C≤10.2 centimeters is acceptable. Use a compound inequality and find the corresponding interval for diameters of these washers.

Answer 1

Considering the equation for the circumference, the corresponding interval for diameters of these washers is:

3.121≤d≤3.248.

What is the circumference of a circle?

The circumference of a circle of diameter d is given by:

C = 3.14d.

For this problem, the circumference is between 9.8 and 10.2, hence the diameters are found as follows:

3.14d = 9.8

d = 9.8/3.14

d = 3.121.

3.14d = 10.2

d = 10.2/3.14

d = 3.248.

The intervals are:

3.121≤d≤3.248.

More can be learned about the circumference of a circle at brainly.com/question/20489969

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