Circle A has a diameter of 7 inches, a circumference of 21.98 inches, and an area of 38.465 square inches. The diameter of circle B is 6 inches, the circumference is 18.84 inches, and the area is 28.26 square inches.Part A: Using the formula for circumference, solve for the value of pi for each circle.Part B: Use the formula for area and solve for the value of pi for each circlePart C: What observation can you make about the value of pi for circles A and B?
asked Jun 10, 2015 in Word Problem Answers by Cj

Your answer

Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
To avoid this verification in future, please log in or register.

3 Answers

A. The circumference is (pi)d where d is the diameter. So (pi) for circle A is 21.98/7=3.14 and for B is 18.84/6=3.14.

B. Area is (pi)r^2 where r=radius or d/2. So for circle A (pi)=38.465/(3.5)^2=3.14 and circle B (pi)=28.26/(3)^2=3.14.

C. To two places of decimals (pi) has a value of 3.14 in all cases. This indicates or implies that (pi) is a universal constant applying to all circles using the formulae.

answered Jun 11, 2015 by Rod Top Rated User (545,980 points)

Part A)
circumference = PI * diameter

PI = circumference / diameter
PI = 21.98 / 7
PI = 3.14

PI = 18.84/6
PI = 3.14

 

Part B)
Area = PI * diameter^2 / 4
PI = 4 * Area / diam^2
PI = 4 * 38.465 / 7*7
PI = 153.86 / 49
PI = 3.14

Circle B
PI = 4 * Area / diam^2
PI = 4 * 28.26 / 6 * 6
PI = 113.04 / 36
PI = 3.14

Part C)
Conclusion - PI = 3.14 and is the same for both circles and is the same for EVERY circle.


Get a instant tutor for Geometry Help

answered Jun 12, 2015 by John Marsh Level 8 User (30,400 points)
hi noobs
answered Apr 20, 2017 by anonymous

Related questions

1 answer
1 answer
asked Nov 27, 2012 in Algebra 1 Answers by anonymous | 110 views
1 answer
asked Oct 9, 2012 in Geometry Answers by anonymous | 73 views
0 answers
asked Jan 31, 2012 in Algebra 1 Answers by anonymous | 117 views
Welcome to MathHomeworkAnswers.org, where students, teachers and math enthusiasts can ask and answer any math question. Get help and answers to any math problem including algebra, trigonometry, geometry, calculus, trigonometry, fractions, solving expression, simplifying expressions and more. Get answers to math questions. Help is always 100% free!
81,125 questions
85,199 answers
2,143 comments
68,618 users