5. A class measured the radius r, circumference C, and area A of various circular objects. The results are recorded in this table. A² (4) ² r (cm) C (cm) A (cm²) ( = 2 * (4) = 25,12 C 4 5 8 12 25 31.5 50 75 50 78.5 201 iM 452 Illustrative Mathematics a. Does there appear to be a proportional relationship between circumference and area? Explain or show your reasoning. Yes 5024 cc TC in there proportional relationship between Circuference and area = 27C (5) ² = 31.42 Tc (5)² = 78.54 b. Does the equation A = r. C describe the relationships in the table? Explain your reasoning, no

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter61: Areas Of Circles, Sectors, And Segments
Section: Chapter Questions
Problem 24A: A piece shown by the shaded portion is to be cut from a square plate 128 millimeters on a side. a....
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5. A class measured the radius r, circumference C, and area A of various circular
objects. The results are recorded in this table.
A² (4) ²
r (cm) C (cm) A (cm²)
( = 2 * (4) = 25,12
C
4
5
8
12
25
31.5
50
75
50
78.5
201
iM
452
Illustrative
Mathematics
a. Does there appear to be a proportional relationship between circumference
and area? Explain or show your reasoning. Yes
5024
cc
TC
in there proportional
relationship between
Circuference
and area
= 27C (5) ² = 31.42
Tc (5)² = 78.54
b. Does the equation A = r. C describe the relationships in the table? Explain
your reasoning, no
Transcribed Image Text:5. A class measured the radius r, circumference C, and area A of various circular objects. The results are recorded in this table. A² (4) ² r (cm) C (cm) A (cm²) ( = 2 * (4) = 25,12 C 4 5 8 12 25 31.5 50 75 50 78.5 201 iM 452 Illustrative Mathematics a. Does there appear to be a proportional relationship between circumference and area? Explain or show your reasoning. Yes 5024 cc TC in there proportional relationship between Circuference and area = 27C (5) ² = 31.42 Tc (5)² = 78.54 b. Does the equation A = r. C describe the relationships in the table? Explain your reasoning, no
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