Question 3 (Essay Worth 10 points) (05.04 MC)
Circle A has a diameter of 9 inches, a circumference of 28.26 inches, and an area of 63.585 square inches. The diameter of circle B is 5 inches, the circumference is 15.70
inches, and the area is 19.625 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? (2 points)

Step-by-step explanation:

area of a circle

A = pi × r²

circumference of a circle

C = 2 × pi × r

r = diameter / 2 (the radius is half of the diameter)

circle A

A = 63.585 = pi × 4.5² = pi × 20.25

pi = 63.585 / 20.25 = 3.14

C = 28.26 = 2 × pi × 4.5

pi = 28.26 / (2 × 4.5) = 28.26 / 9 = 3.14

circle B

A = 19.625 = pi × 2.5² = pi × 6.25

pi = 19.625 / 6.25 = 3.14

C = 15.7 = 2 × pi × 2.5

pi = 15.7 / (2 × 2.5) = 15.7 / 5 = 3.14

pi is always the same for every circle of any size. it is a natural constant defining the circumference and area of every circle in relation to the actual radius or diameter.

300pi

step-by-step explanation:

a

step-by-step explanation:

when a number is between two straight lines it means the absolute value.

to find absolute value you need to know how many numbers is that number away from 0.

when finding absolute value the number will always come out positive

so absolute value of -3 is 3

absolute value of 3/2 is 3/2

absolute value of -2 is 2

absolute value of 3.5 is 3.5

absolute value of -1 is 1

now put these numbers in order:

a)   |-1|, |3/2|, |-2|, |-3|, |3.5|