Question 3 (10 points)
(05.04 MO
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)

Respuesta :

Step-by-step explanation:

Part A

Circumference formula:

  • C = 2Ï€r = Ï€d

Find π:

  • 25.12 = 8Ï€ ⇒  π = 25.12/8 ⇒ Ï€ = 3.14
  • 9.42 = 3Ï€ ⇒ Ï€ = 9.42/3 ⇒ Ï€ = 3.14

Part B

Area formula:

  • A = Ï€r² = Ï€d²/4

Find π:

  • 50.24 = Ï€*8²/4 ⇒ 50.24 = 16Ï€ ⇒ Ï€ = 50.24/16 ⇒ Ï€ = 3.14
  • 7.065 = Ï€*3²/4 ⇒ 7.065 = 9Ï€/4 ⇒ Ï€ = 4*7.065/9 ⇒ Ï€ = 3.14

Part C

  • The value of Ï€ is same - 3.14 from each case we have