Geometry, Student Edition
Geometry, Student Edition
1st Edition
ISBN: 9780078884849
Author: McGraw-Hill, McGraw Hill
Publisher: Glencoe/McGraw-Hill School Pub Co
Question
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Chapter 10.1, Problem 45PPS

(a)

To determine

To draw: With help of compass sketch three circles.

(a)

Expert Solution
Check Mark

Explanation of Solution

Given information: Three circles have the scale factor of 1:2 from each other to the next larger circle.

Sketch: Three circles have drawn, given below. The scale factor is of 1:2 .

  Geometry, Student Edition, Chapter 10.1, Problem 45PPS , additional homework tip  1

(b)

To determine

To find: The radius to the nearest tenth and circumference to the nearest hundredth of each circle.

(b)

Expert Solution
Check Mark

Answer to Problem 45PPS

The required table of measurement is given below.

  RadiusCircumference0.704.401.408.802.8017.60

Explanation of Solution

Given information: Radius is nearest to tenth and circumference is nearest to hundredth.

  Geometry, Student Edition, Chapter 10.1, Problem 45PPS , additional homework tip  2

Formula used: C=2πr

Calculation: We will calculate the radius and circumference of each circle by applying the formula C=2πr ,

  r1=0.70C1=2πr=2π×0.704.40

  r2=2r1=2×0.70=1.40C2=2πr=2π×1.408.80

  r3=2r2=2×1.40=2.80

  C3=2πr=2π×2.8017.80

(c)

To determine

To explain: The reason why these three circles are geometrically similar.

(c)

Expert Solution
Check Mark

Explanation of Solution

Given information: The circle is taking from part (a).

  Geometry, Student Edition, Chapter 10.1, Problem 45PPS , additional homework tip  3

We can see that in the following figure that the circles have the same circular shape. Hence, they all are geometrically similar.

  Geometry, Student Edition, Chapter 10.1, Problem 45PPS , additional homework tip  4

(d)

To determine

To conjecture: The ratio between the circumferences of two circles when the ratio between their radii is 2.

(d)

Expert Solution
Check Mark

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 determine

To find: The equation relating the circumference of circle A to the circumference of circle B.

(e)

Expert Solution
Check Mark

Answer to Problem 45PPS

The required relation is CBCA=ba .

Explanation of Solution

Given information: The scale factor form circle A to circle B is ba .

Formula used: C=2πr

Calculation: Applying the formula C=2πr ,

Given, rBrA=ba

  CBCA=2πrB2πrACBCA=rBrArBrA=ba

(f)

To determine

To find: The circumference of circle B.

(f)

Expert Solution
Check Mark

Answer to Problem 45PPS

The circumference of the circle B is 4inches .

Explanation of Solution

Given information: The scale factor form circle A to circle B is 13 . The circumference of circle A is 12inches

Formula used: C=2πr

Calculation: Applying the formula C=2πr ,

Given, rBrA=13

  CBCA=2πrB2πrACB12=13CB=13×12=4inches

Chapter 10 Solutions

Geometry, Student Edition

Ch. 10.1 - Prob. 2CYUCh. 10.1 - Prob. 3CYUCh. 10.1 - Prob. 4CYUCh. 10.1 - Prob. 5CYUCh. 10.1 - Prob. 6CYUCh. 10.1 - Prob. 7CYUCh. 10.1 - Prob. 8CYUCh. 10.1 - Prob. 9CYUCh. 10.1 - Prob. 10PPSCh. 10.1 - Prob. 11PPSCh. 10.1 - Prob. 12PPSCh. 10.1 - Prob. 13PPSCh. 10.1 - Prob. 14PPSCh. 10.1 - Prob. 15PPSCh. 10.1 - Prob. 16PPSCh. 10.1 - Prob. 17PPSCh. 10.1 - Prob. 18PPSCh. 10.1 - Prob. 19PPSCh. 10.1 - Prob. 20PPSCh. 10.1 - Prob. 21PPSCh. 10.1 - Prob. 22PPSCh. 10.1 - Prob. 23PPSCh. 10.1 - Prob. 24PPSCh. 10.1 - Prob. 25PPSCh. 10.1 - Prob. 26PPSCh. 10.1 - Prob. 27PPSCh. 10.1 - Prob. 28PPSCh. 10.1 - Prob. 29PPSCh. 10.1 - Prob. 30PPSCh. 10.1 - Prob. 31PPSCh. 10.1 - Prob. 32PPSCh. 10.1 - Prob. 33PPSCh. 10.1 - Prob. 34PPSCh. 10.1 - Prob. 35PPSCh. 10.1 - Prob. 36PPSCh. 10.1 - Prob. 37PPSCh. 10.1 - Prob. 38PPSCh. 10.1 - Prob. 39PPSCh. 10.1 - Prob. 40PPSCh. 10.1 - Prob. 41PPSCh. 10.1 - Prob. 42PPSCh. 10.1 - Prob. 43PPSCh. 10.1 - Prob. 44PPSCh. 10.1 - Prob. 45PPSCh. 10.1 - Prob. 46PPSCh. 10.1 - Prob. 47PPSCh. 10.1 - Prob. 48HPCh. 10.1 - Prob. 49HPCh. 10.1 - Prob. 50HPCh. 10.1 - Prob. 51HPCh. 10.1 - Prob. 52HPCh. 10.1 - Prob. 53HPCh. 10.1 - Prob. 54HPCh. 10.1 - Prob. 55STPCh. 10.1 - Prob. 56STPCh. 10.1 - Prob. 57STPCh. 10.1 - Prob. 58STPCh. 10.1 - Prob. 59SPRCh. 10.1 - Prob. 60SPRCh. 10.1 - Prob. 61SPRCh. 10.1 - Prob. 62SPRCh. 10.1 - Prob. 63SPRCh. 10.1 - Prob. 64SPRCh. 10.1 - Prob. 65SPRCh. 10.1 - Prob. 66SPRCh. 10.1 - Prob. 67SPRCh. 10.1 - Prob. 68SPRCh. 10.1 - Prob. 69SRCh. 10.1 - Prob. 70SRCh. 10.1 - Prob. 71SRCh. 10.1 - Prob. 72SRCh. 10.2 - Prob. 1ACYPCh. 10.2 - Prob. 1BCYPCh. 10.2 - Prob. 2ACYPCh. 10.2 - Prob. 2BCYPCh. 10.2 - Prob. 2CCYPCh. 10.2 - Prob. 3ACYPCh. 10.2 - Prob. 3BCYPCh. 10.2 - Prob. 4ACYPCh. 10.2 - Prob. 4BCYPCh. 10.2 - Prob. 5ACYPCh. 10.2 - Prob. 5BCYPCh. 10.2 - Prob. 5CCYPCh. 10.2 - Prob. 1CYUCh. 10.2 - Prob. 2CYUCh. 10.2 - Prob. 3CYUCh. 10.2 - Prob. 4CYUCh. 10.2 - Prob. 5CYUCh. 10.2 - Prob. 6CYUCh. 10.2 - Prob. 7CYUCh. 10.2 - Prob. 8CYUCh. 10.2 - Prob. 9CYUCh. 10.2 - Prob. 10CYUCh. 10.2 - Prob. 11CYUCh. 10.2 - Prob. 12PPSCh. 10.2 - Prob. 13PPSCh. 10.2 - Prob. 14PPSCh. 10.2 - Prob. 15PPSCh. 10.2 - Prob. 16PPSCh. 10.2 - Prob. 17PPSCh. 10.2 - Prob. 18PPSCh. 10.2 - Prob. 19PPSCh. 10.2 - Prob. 20PPSCh. 10.2 - Prob. 21PPSCh. 10.2 - Prob. 22PPSCh. 10.2 - Prob. 23PPSCh. 10.2 - Prob. 24PPSCh. 10.2 - Prob. 25PPSCh. 10.2 - Prob. 26PPSCh. 10.2 - Prob. 27PPSCh. 10.2 - Prob. 28PPSCh. 10.2 - Prob. 29PPSCh. 10.2 - Prob. 30PPSCh. 10.2 - Prob. 31PPSCh. 10.2 - Prob. 32PPSCh. 10.2 - Prob. 33PPSCh. 10.2 - Prob. 34PPSCh. 10.2 - Prob. 35PPSCh. 10.2 - Prob. 36PPSCh. 10.2 - Prob. 37PPSCh. 10.2 - Prob. 38PPSCh. 10.2 - Prob. 39PPSCh. 10.2 - Prob. 40PPSCh. 10.2 - Prob. 41PPSCh. 10.2 - Prob. 42PPSCh. 10.2 - Prob. 43PPSCh. 10.2 - Prob. 44PPSCh. 10.2 - Prob. 45PPSCh. 10.2 - Prob. 46PPSCh. 10.2 - Prob. 47PPSCh. 10.2 - Prob. 48PPSCh. 10.2 - Prob. 49PPSCh. 10.2 - Prob. 50PPSCh. 10.2 - Prob. 51PPSCh. 10.2 - Prob. 52PPSCh. 10.2 - Prob. 53PPSCh. 10.2 - Prob. 55HPCh. 10.2 - Prob. 56HPCh. 10.2 - Prob. 57HPCh. 10.2 - Prob. 58HPCh. 10.2 - Prob. 59HPCh. 10.2 - Prob. 60HPCh. 10.2 - Prob. 61HPCh. 10.2 - Prob. 62HPCh. 10.2 - Prob. 63STPCh. 10.2 - Prob. 64STPCh. 10.2 - Prob. 65STPCh. 10.2 - Prob. 66STPCh. 10.2 - Prob. 67SPRCh. 10.2 - Prob. 68SPRCh. 10.2 - Prob. 69SPRCh. 10.2 - Prob. 70SPRCh. 10.2 - Prob. 71SPRCh. 10.2 - Prob. 72SPRCh. 10.2 - Prob. 73SPRCh. 10.2 - Prob. 74SPRCh. 10.2 - Prob. 75SRCh. 10.2 - Prob. 76SRCh. 10.2 - Prob. 77SRCh. 10.3 - Prob. 1CYPCh. 10.3 - Prob. 2CYPCh. 10.3 - Prob. 3CYPCh. 10.3 - Prob. 4CYPCh. 10.3 - Prob. 5CYPCh. 10.3 - Prob. 1CYUCh. 10.3 - Prob. 2CYUCh. 10.3 - Prob. 3CYUCh. 10.3 - Prob. 4CYUCh. 10.3 - Prob. 5CYUCh. 10.3 - Prob. 6CYUCh. 10.3 - Prob. 7PPSCh. 10.3 - Prob. 8PPSCh. 10.3 - Prob. 9PPSCh. 10.3 - Prob. 10PPSCh. 10.3 - Prob. 11PPSCh. 10.3 - Prob. 12PPSCh. 10.3 - Prob. 13PPSCh. 10.3 - Prob. 14PPSCh. 10.3 - Prob. 15PPSCh. 10.3 - Prob. 16PPSCh. 10.3 - Prob. 17PPSCh. 10.3 - Prob. 18PPSCh. 10.3 - Prob. 19PPSCh. 10.3 - Prob. 20PPSCh. 10.3 - Prob. 21PPSCh. 10.3 - Prob. 22PPSCh. 10.3 - 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Prob. 58SPRCh. 10.4 - Prob. 59SPRCh. 10.4 - Prob. 60SPRCh. 10.4 - Prob. 61SPRCh. 10.4 - Prob. 62SPRCh. 10.4 - Prob. 63SRCh. 10.4 - Prob. 64SRCh. 10.4 - Prob. 65SRCh. 10.4 - Prob. 66SRCh. 10.5 - Prob. 1ACYPCh. 10.5 - Prob. 1BCYPCh. 10.5 - Prob. 2CYPCh. 10.5 - Prob. 3ACYPCh. 10.5 - Prob. 3BCYPCh. 10.5 - Prob. 4ACYPCh. 10.5 - Prob. 4BCYPCh. 10.5 - Prob. 5CYPCh. 10.5 - Prob. 1CYUCh. 10.5 - Prob. 2CYUCh. 10.5 - Prob. 3CYUCh. 10.5 - Prob. 4CYUCh. 10.5 - Prob. 5CYUCh. 10.5 - Prob. 6CYUCh. 10.5 - Prob. 7CYUCh. 10.5 - Prob. 8CYUCh. 10.5 - Prob. 9PPSCh. 10.5 - Prob. 10PPSCh. 10.5 - Prob. 11PPSCh. 10.5 - Prob. 12PPSCh. 10.5 - Prob. 13PPSCh. 10.5 - Prob. 14PPSCh. 10.5 - Prob. 15PPSCh. 10.5 - Prob. 16PPSCh. 10.5 - Prob. 17PPSCh. 10.5 - Prob. 18PPSCh. 10.5 - Prob. 19PPSCh. 10.5 - Prob. 20PPSCh. 10.5 - Prob. 21PPSCh. 10.5 - Prob. 22PPSCh. 10.5 - Prob. 23PPSCh. 10.5 - Prob. 24PPSCh. 10.5 - Prob. 25PPSCh. 10.5 - Prob. 26PPSCh. 10.5 - Prob. 27PPSCh. 10.5 - Prob. 28PPSCh. 10.5 - Prob. 29PPSCh. 10.5 - Prob. 30PPSCh. 10.5 - Prob. 31PPSCh. 10.5 - Prob. 32PPSCh. 10.5 - Prob. 33PPSCh. 10.5 - Prob. 34PPSCh. 10.5 - Prob. 35HPCh. 10.5 - Prob. 36HPCh. 10.5 - Prob. 37HPCh. 10.5 - Prob. 38HPCh. 10.5 - Prob. 39HPCh. 10.5 - Prob. 40STPCh. 10.5 - Prob. 41STPCh. 10.5 - Prob. 42STPCh. 10.5 - Prob. 43STPCh. 10.5 - Prob. 44SPRCh. 10.5 - Prob. 45SPRCh. 10.5 - Prob. 46SPRCh. 10.5 - Prob. 47SPRCh. 10.5 - Prob. 48SPRCh. 10.5 - Prob. 49SPRCh. 10.5 - Prob. 50SPRCh. 10.5 - Prob. 51SPRCh. 10.5 - Prob. 52SPRCh. 10.5 - Prob. 53SRCh. 10.5 - Prob. 54SRCh. 10.5 - Prob. 55SRCh. 10.6 - Prob. 1ACYPCh. 10.6 - Prob. 1BCYPCh. 10.6 - Prob. 1CCYPCh. 10.6 - Prob. 2ACYPCh. 10.6 - Prob. 2BCYPCh. 10.6 - Prob. 3ACYPCh. 10.6 - Prob. 3BCYPCh. 10.6 - Prob. 4CYPCh. 10.6 - Prob. 1CYUCh. 10.6 - Prob. 2CYUCh. 10.6 - Prob. 3CYUCh. 10.6 - Prob. 4CYUCh. 10.6 - Prob. 5CYUCh. 10.6 - Prob. 6CYUCh. 10.6 - Prob. 7CYUCh. 10.6 - Prob. 8PPSCh. 10.6 - Prob. 9PPSCh. 10.6 - Prob. 10PPSCh. 10.6 - Prob. 11PPSCh. 10.6 - Prob. 12PPSCh. 10.6 - Prob. 13PPSCh. 10.6 - Prob. 14PPSCh. 10.6 - Prob. 15PPSCh. 10.6 - Prob. 16PPSCh. 10.6 - Prob. 17PPSCh. 10.6 - Prob. 18PPSCh. 10.6 - Prob. 19PPSCh. 10.6 - Prob. 20PPSCh. 10.6 - Prob. 21PPSCh. 10.6 - Prob. 22PPSCh. 10.6 - Prob. 23PPSCh. 10.6 - Prob. 24PPSCh. 10.6 - Prob. 25PPSCh. 10.6 - Prob. 26PPSCh. 10.6 - Prob. 27PPSCh. 10.6 - Prob. 28PPSCh. 10.6 - Prob. 29PPSCh. 10.6 - Prob. 30PPSCh. 10.6 - Prob. 31PPSCh. 10.6 - Prob. 32PPSCh. 10.6 - Prob. 33PPSCh. 10.6 - Prob. 34PPSCh. 10.6 - Prob. 35PPSCh. 10.6 - Prob. 36HPCh. 10.6 - Prob. 37HPCh. 10.6 - Prob. 38HPCh. 10.6 - Prob. 39HPCh. 10.6 - Prob. 40HPCh. 10.6 - Prob. 41HPCh. 10.6 - Prob. 42STPCh. 10.6 - Prob. 43STPCh. 10.6 - Prob. 44STPCh. 10.6 - Prob. 45STPCh. 10.6 - Prob. 46SPRCh. 10.6 - Prob. 47SPRCh. 10.6 - Prob. 48SPRCh. 10.6 - Prob. 49SPRCh. 10.6 - Prob. 50SPRCh. 10.6 - Prob. 51SPRCh. 10.6 - Prob. 52SPRCh. 10.6 - Prob. 53SRCh. 10.6 - Prob. 54SRCh. 10.6 - Prob. 55SRCh. 10.6 - Prob. 56SRCh. 10.6 - Prob. 57SRCh. 10.6 - Prob. 58SRCh. 10.7 - Prob. 1ACYPCh. 10.7 - Prob. 1BCYPCh. 10.7 - 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