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1. Graph a circle with a center (0, 0) and a radius of 4. This is Circle A.

1. Graph a circle with a center (0, 0) and a radius of 4. This is Circle A.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Lesson 7.4C ~ Dilations Name Jacier Varong 1. Graph a circle with a center (0, 0) and a radius of 4. This is Circle A. 2. On the same coordinate plane, graph the dilation of Circle A using a scale factor of 2 centered at the 'origin. This is Circle B. 3. On the same coordinate plane, graph the dilation of Circle B using a scale factor of centered 4 at the origin. This is Circle C. 4. On the same coordinate plane, graph the dilation of Circle C using a scale factor of 5 centered at the origin. This is Circle D. -8 5. a. How many times larger is the circumference of Circle B than Circle A? b. How many times larger is the area of Circle B than Circle A? 6. a. How many times larger is the circumference of Circle D than Circle C? b. How many times larger is the area of Circle D than Circle C? 7. a. How many times larger is the circumference of Circle D than Circle A? b. How many times larger is the area of Circle D than Circle A? 8. What do you notice about the comparisons of circumferences and areas? 9. The circumference of one circle is 8 times as large as another circle. How do their areas compare? Period 10-8-6-4 10 8 6 P Date 65 6 8 10 e di con
Transcribed Image Text:Lesson 7.4C ~ Dilations Name Jacier Varong 1. Graph a circle with a center (0, 0) and a radius of 4. This is Circle A. 2. On the same coordinate plane, graph the dilation of Circle A using a scale factor of 2 centered at the 'origin. This is Circle B. 3. On the same coordinate plane, graph the dilation of Circle B using a scale factor of centered 4 at the origin. This is Circle C. 4. On the same coordinate plane, graph the dilation of Circle C using a scale factor of 5 centered at the origin. This is Circle D. -8 5. a. How many times larger is the circumference of Circle B than Circle A? b. How many times larger is the area of Circle B than Circle A? 6. a. How many times larger is the circumference of Circle D than Circle C? b. How many times larger is the area of Circle D than Circle C? 7. a. How many times larger is the circumference of Circle D than Circle A? b. How many times larger is the area of Circle D than Circle A? 8. What do you notice about the comparisons of circumferences and areas? 9. The circumference of one circle is 8 times as large as another circle. How do their areas compare? Period 10-8-6-4 10 8 6 P Date 65 6 8 10 e di con
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