Consider using a circle's radius as the unit for measuring its circle's circumference. a. If you were to measure any circle's circumference, C, using its radius, r, as the unit of measure, the measurement would be Preview b. As the circle's radius and circumference vary together the circle's circumference C is always | times as large as the circle's radius, r. c. Determine if the following statement is true or false: | Since a circle's circumference C is proportional to its radius r, it follows that C is False changing at a constant rate of change with r.

Mathematics For Machine Technology
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Chapter10: Rounding Decimal Fractions And Equivalent Decimal And Common Fractions
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Consider using a circle's radius as the unit for measuring its circle's circumference.
a. If you were to measure any circle's circumference, C, using its radius, r, as the unit of measure, the
measurement would be
Preview
b. As the circle's radius and circumference vary together the circle's circumference C is always
times as large as the circle's radius, r.
c. Determine if the following statement is true or false:
v Since a circle's circumference C is proportional to its radius r, it follows that C is
False
changing at a constant rate of change with r.
d. For any change in a circle's radius, Ar, the circle' circumference changes by
Preview
e. Since a circle's diameter is 2 times as long as its radius, we can also define a circle's circumference
in terms of its diameter, d, by writing, C
Preview
=
f. Think about the meaning of the formula for circumference in terms of diameter you wrote above.
o The circumference, C, of any circle is always
times as large as its diameter,
d
• If we measure a circle's circumference using its diameter as the unit of measurement, the
answer will always be:
Preview
C
o True
| Since
T, we know that T (or about 3.14) is the constant that represents
d
the relative size, or how much larger a circle's circumference is than its diameter.
Transcribed Image Text:Consider using a circle's radius as the unit for measuring its circle's circumference. a. If you were to measure any circle's circumference, C, using its radius, r, as the unit of measure, the measurement would be Preview b. As the circle's radius and circumference vary together the circle's circumference C is always times as large as the circle's radius, r. c. Determine if the following statement is true or false: v Since a circle's circumference C is proportional to its radius r, it follows that C is False changing at a constant rate of change with r. d. For any change in a circle's radius, Ar, the circle' circumference changes by Preview e. Since a circle's diameter is 2 times as long as its radius, we can also define a circle's circumference in terms of its diameter, d, by writing, C Preview = f. Think about the meaning of the formula for circumference in terms of diameter you wrote above. o The circumference, C, of any circle is always times as large as its diameter, d • If we measure a circle's circumference using its diameter as the unit of measurement, the answer will always be: Preview C o True | Since T, we know that T (or about 3.14) is the constant that represents d the relative size, or how much larger a circle's circumference is than its diameter.
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