Will make brainlest plz !

circle a has a diameter of 8 inches, a circumference of 25.12 inches, and an area of 50.24 square inches. the diameter of circle b is 3 inches, the circumference is 9.42 inches, and the area is 7.065 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)

Part A:

Circle A

Circumference = 2πr

25.12 = 2π(4)

25.12 = 8π

Divide both side by 8

3.14 = π

Circle B

Circumference = 2πr

9.42 = 2π(3/2)

9.42 = 3π

Divide both side by 3

3.14 = π

Part B:

Circle A

A = πr²

50.24 = π(4)²

50.24 = 16π

Divide both side by 16

3.14 = π

Circle B

A = πr²

7.065 = π(3/2)²

7.065 = 9π/4

Divide both side by 9/4

3.14 = π

Part C:

He/She used exactly 3.14 for the value of pi in circle A and B to get the circumference and the area.

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240

answer is 33

step-by-step explanation: