Circles: Homework 1. It is often stated in math textbooks that all measurements are approximate. a) What does it mean for measurements to be approximate? Does this mean that we cannot accurately determine the lengths or areas of figures? b) Sometimes the area of a circle is recorded as a number multiplied by x (pi), such as A-16x cm² for a circle with a radius of 4 cm. Why record the area as 168 cm² instead of as 50.24 cm² (16*3.14)? 2. Find the area of the figure below Camal cicle 23.55 cm G Summarize & Connect 3. Define as a geometric concept (ie, do not simply state its value). Then use this definition to explain the circumference formula for a circle. 4. Explain how to derive the area formula for a circle. Be sure to provide illustrations.
Circles: Homework 1. It is often stated in math textbooks that all measurements are approximate. a) What does it mean for measurements to be approximate? Does this mean that we cannot accurately determine the lengths or areas of figures? b) Sometimes the area of a circle is recorded as a number multiplied by x (pi), such as A-16x cm² for a circle with a radius of 4 cm. Why record the area as 168 cm² instead of as 50.24 cm² (16*3.14)? 2. Find the area of the figure below Camal cicle 23.55 cm G Summarize & Connect 3. Define as a geometric concept (ie, do not simply state its value). Then use this definition to explain the circumference formula for a circle. 4. Explain how to derive the area formula for a circle. Be sure to provide illustrations.
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Transcribed Image Text:Circles: Homework
1. It is often stated in math textbooks that all measurements are approximate.
a) What does it mean for measurements to be approximate? Does this mean that we cannot
accurately determine the lengths or areas of figures?
b) Sometimes the area of a circle is recorded as a number multiplied by x (pi), such as A-16x cm²
for a circle with a radius of 4 cm. Why record the area as 168 cm² instead of as 50.24 cm²
(16*3.14)?
2. Find the area of the figure below
Camal cicle 23.55 cm
O
Summarize & Connect
3. Define as a geometric concept (ie, do not simply state its value). Then use this definition to explain
the circumference formula for a circle.
4. Explain how to derive the area formula for a circle. Be sure to provide illustrations.
2015 Elementary Pre-Service Teachers Mathematics Project School of Education Boston University.
Boston, MA 02215- (617) 353-7105-gchapibu.edu
Please do not circulate or cite without permission
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