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(a)
To draw: With help of compass sketch three
(a)
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Explanation of Solution
Given information: Three circles have the scale factor of
Sketch: Three circles have drawn, given below. The scale factor is of
(b)
To find: The radius to the nearest tenth and circumference to the nearest hundredth of each circle.
(b)
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Answer to Problem 45PPS
The required table of measurement is given below.
Explanation of Solution
Given information: Radius is nearest to tenth and circumference is nearest to hundredth.
Formula used:
Calculation: We will calculate the radius and circumference of each circle by applying the formula
(c)
To explain: The reason why these three circles are geometrically similar.
(c)
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Explanation of Solution
Given information: The circle is taking from part (a).
We can see that in the following figure that the circles have the same circular shape. Hence, they all are geometrically similar.
(d)
To conjecture: The ratio between the circumferences of two circles when the ratio between their radii is 2.
(d)
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Explanation of Solution
Given information: The ratio between circles’ radii is 2.
Explanation: If the ratio between circles’ radii is 2, then its ratio of the circumference is also 2.
(e)
To find: The equation relating the circumference of circle A to the circumference of circle B.
(e)
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Answer to Problem 45PPS
The required relation is
Explanation of Solution
Given information: The scale factor form circle A to circle B is
Formula used:
Calculation: Applying the formula
Given,
(f)
To find: The circumference of circle B.
(f)
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Answer to Problem 45PPS
The circumference of the circle B is
Explanation of Solution
Given information: The scale factor form circle A to circle B is
Formula used:
Calculation: Applying the formula
Given,
Chapter 10 Solutions
Geometry, Student Edition
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- Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,Elementary Geometry for College StudentsGeometryISBN:9781285195698Author:Daniel C. Alexander, Geralyn M. KoeberleinPublisher:Cengage Learning
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