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
Related questions
Topic Video
Question
Answer the following questions:

Transcribed Image Text:MATHEMATICS 5
C= TT x 2 xr
4th Quarter - Week 4
( June 7-11, 2021)
3.14 x 2 x 2
3.14 x 4
C = 12.56 cm
More examples:
LESSON 1: Finds the circumference of a crcle.
6 m
Learning Task 1:
5 cm
Read and study:
Circumference is the distance around a circle. It is equal to the product of the pi (T),
which is equal to 3.14 and the diameter of the circle. Pi (T), read as "pie", is the ratio of
the circumference of a circle to its diameter.
C= Trd
= TT x d
C= TT2r
= TT x 2 x 5
= 3.14 x 2 x 5
= 3.14 x 10
C = 31.4 cm
3.14 x 6
C = 18.84 m
If we unroll the circle from the dot, the line segment we get is the same length as
the circumference
Learning Task 2:
Activity 1
Find the circumference of each circle.
1.
7 cm
2.
2.5 m
3.
8 cm
4.
11 dm
end
start
Activity 2
To measure the circumference of the circle, we can use tape measure or follow the
Complete the table.
Given
1. d= 3 cm
formula.
Formula
Circumference
Formula for finding the circumference of the circle:
C= Trd or C= TT x d
C is circumference.
d is diameter.
TT is pi read as pie
IT = 3.14
Example : Find the circumference of the circle.
a.
2. d 5 cm
3. г%3D 4 m
4. r 6 m
5. d = 7 m
C = d x T
= 4 x 3.14
Activity 3
4 cm
Solve for the circumference of a circle. Write the letter of the correct answer.
C = 12.56 cm
C = TT2r or C= TT x 2 xr
or C = 2TTT or C= 2 x TT X r
For any circle, the radius is one-half of the diameter so d = 2 x r
Example: Find the circumference of the circle.
1. A circle has a radius of 5 cm. What is its circumference?
а. 14.37 cm
2. A circle has a radius of 9 m. Find its circumference.
b.
b. 31.4 сm
c. 15.7 cm
d. 41.3 cm
a. 56.52 m
b. 43.52 m
3. What is the circumference of a circle whose radius is 3 in?
c. 28.26 m
d. 16.25 m
r= radius = 2 cm
C = TT2r
a. 18.84 in
b. 12.84 in
4. The diameter of a circle is 15 ft. What is its circumference?
2sm
C. 9.42 in
d. 6.28 in
a. 15.7 ft
b. 28.1 ft
5. Find the circumference of a circle whose diameter is 12 cm.
b. 18.84 cm
C. 47.1 ft
d. 56.7 ft
a. 9.76 cm
c. 27.85 cm
d. 37.68 cm
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