sijushrestha404
sijushrestha404 sijushrestha404
  • 12-04-2022
  • Mathematics
contestada

if the area of a circle is 154 cm square then find the diameter and circumference​

Respuesta :

jasongggg
jasongggg jasongggg
  • 12-04-2022

Answer:

Diameter = 14 cm

Circumference = 44 cm

Step-by-step explanation:

  1. Area of circle = πr²
  2. Diameter = 2r
  3. Circumference = 2πr = πd
  4. π ≈ 3.142

[tex]\pi {r}^{2} = 154 \\ {r}^{2} = \frac{154}{\pi} \\ r = \sqrt{ \frac{154}{\pi} } \: cm[/tex]

[tex]Diameter = 2r \\ = 2 \sqrt{ \frac{154}{3.142} } \\ ≈ 14 \: cm[/tex]

[tex]Circumference = πd \\ = 14\pi \\ = 14 \times 3.142 \\ = 43.988 \\ ≈ 44 \: cm[/tex]

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