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. (4 points)

part b: use the formula for area and solve for the value of pi for each circle. (4 points)

part c: what observation can you make about the value of pi for circles a and b?

A) Pi value using circumferences

C = circumference
d= diameter

Formula: C = Pi*d⇒Pi = C/d

Circle A)
Pi = 21.98/7 = 3.14

Circle B)

Pi = 18.84/6= 3.14

B) Using areas
A = area
r = radio = diameter/2

Formula: A = Pi*(r^2 )⇒ Pi = A/(r^2)

Circle A

Pi = 38.465/(3.5)^2= 3.14

Circle B

Pi= 28.26/(3^2)= 3.14

Result of Pi is consistent with the measurements. The valur is the same for the four calculations and it is close to real value: 3.14159...

Part A

π * r * 2 = C Formula

π * 3.5 * 2 = 21.98 Replace Circumference and radius

π * 3.5 * 2 / 2 = 21.98 / 2 Get rid of *2 by divide by 2

π * 3.5 = 10.99 Simplify

π * 3.5 / 3.5 = 10.99 / 3.5 Get rid of *3.5 by divide by 3.5

π = 3.14 Simplify

Circle A proves that π is equal to 3.14

π * r * 2 = C Formula

π * 3 * 2 = 18.84 Replace Circumference and Radius

π * 3 * 2 / 2 = 18.84 /2 Get rid of *2 by divide 2

π * 3 = 9.42 Simplify

π * 3 / 3 = 9.42 Get rid of *3 by divide 3

π = 3.14 Simplify

Circle B proves that π is equal to 3.14

Part B:

Circle A

π=

38.465/3.5^2=

38.465/ (3.5 * 3.5)=

38.465/ 12.25 =

3.14

Circle B

π=

28.26/3^2=

28.26/ (3*3)=

28.26/ 9=

3.14

the answer should be 32