McGraw Hill Integrated II, 2012
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McGraw Hill Integrated II, 2012 View details
1. Circles and Circumference
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Exercise 34 Page 720

Evaluate the diameter using the formula for the circumference of a circle.

≈ 176.8 grams

Practice makes perfect

We want to find the maximum allowable weight for a disc that has a circumference of 66.92 centimeters if the maximum weight of a disc in grams is 8.3 times the diameter in centimeters. First, let's recall the formula for the circumference of a circle. C=Ï€ dTo find the diameter of the disc we will substitute 66.92 for C into the above formula and solve for d.

C=Ï€ d
66.92=Ï€ d
66.92/Ï€=d
d=66.92/Ï€
d=21.3012...
d≈ 21.3

The diameter of the disc is approximately 21.3 centimeters. Now we will multiply 21.3 by 8.3 to find the maximum allowable weight. 21.3*8.3≈ 176.8 The maximum allowable weight is approximately 176.8 grams.