1. Mel uses a hula hoop when she exercise. The hoop's diameter is 60 cm. What is its circumference? 2. A park has a circular lawn which measures 67 meters in diameter. How long will Jonas have to run when he goes around the lawn? 3. A circular race track has a diameter of 12 kilometers. How far does a motorcycle travel in one lap around the race track?

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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Answer the following questions:

1 Mel uses a hula hoop when she exercise. The hoop's diameter is 60
cm. What is its circumference?
2 A park has a circular lawn which measures 67 meters in diameter How
long will Jonas have to run when he goes around the lawn?
Learning Task 3:
Let's study how to solve problems involving circumference.
Example 1
3. A circular race track has a diameter of 12 kilometers. How far does a
motorcycle travel in one lap around the race track?
Jana walked across a circular swimming pool and it is 10 feet across
The center. How far will Jana swim around the pool?
Understand:
a. What is asked ? ( The distance that Jana will be swimming around the pool. )
D. What are the given facts ? ( The swimming pool is 10 feet across)
4. A car tire has a diameter of 25 inches. How many inches is one full
revolution of the wheel?
Plan
Since the pool is circular, the distance around the pool is the circumference
And the distance across is the diameter. The circumference is unknown and
d = 10 ft. Solve for C.
5. A circular pool is to be surrounded by metal railings. The radius of the
pool is 4.8 meters. How many meters of metal are needed to enclose
the pool ?
Solve and Check
C = TT x d
= 3.14 x 10 ft
= 31.4 ft
The circumference is 31.4 ft
Jana will swim 31.4 ft around the pool.
Example 2:
A wheel has a radius of 13 inches.How far does it roll in one complete turn ?
Solution:
Since a wheel's complete roll covers the distance around itself, it is the
circumference. And given the radius is 13 inches, it follows that the diameter is
26 inches long.
C = TT2r
x2 xr
=3.14 x 2 x 13 inches
= 3.14 x 26
C = 81.64 inches
Therefore, the wheel rolls 81.64 inches to make one complete turn.
Activity 4
Solve the following word problem. Write the solution.
( Apply the circumference of a circle )
Transcribed Image Text:1 Mel uses a hula hoop when she exercise. The hoop's diameter is 60 cm. What is its circumference? 2 A park has a circular lawn which measures 67 meters in diameter How long will Jonas have to run when he goes around the lawn? Learning Task 3: Let's study how to solve problems involving circumference. Example 1 3. A circular race track has a diameter of 12 kilometers. How far does a motorcycle travel in one lap around the race track? Jana walked across a circular swimming pool and it is 10 feet across The center. How far will Jana swim around the pool? Understand: a. What is asked ? ( The distance that Jana will be swimming around the pool. ) D. What are the given facts ? ( The swimming pool is 10 feet across) 4. A car tire has a diameter of 25 inches. How many inches is one full revolution of the wheel? Plan Since the pool is circular, the distance around the pool is the circumference And the distance across is the diameter. The circumference is unknown and d = 10 ft. Solve for C. 5. A circular pool is to be surrounded by metal railings. The radius of the pool is 4.8 meters. How many meters of metal are needed to enclose the pool ? Solve and Check C = TT x d = 3.14 x 10 ft = 31.4 ft The circumference is 31.4 ft Jana will swim 31.4 ft around the pool. Example 2: A wheel has a radius of 13 inches.How far does it roll in one complete turn ? Solution: Since a wheel's complete roll covers the distance around itself, it is the circumference. And given the radius is 13 inches, it follows that the diameter is 26 inches long. C = TT2r x2 xr =3.14 x 2 x 13 inches = 3.14 x 26 C = 81.64 inches Therefore, the wheel rolls 81.64 inches to make one complete turn. Activity 4 Solve the following word problem. Write the solution. ( Apply the circumference of a circle )
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