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A circular window in a bathroom has an area of 64π square inches. another circular window in a living room has a radius 4 inches longer than the bathroom window. what is the circumference, in inches, of the circular window in the living room? (use 3.14 for pi)

Respuesta :

[tex]\boxed {\boxed {\text{Area of a circle = } \pi r^2}}[/tex]

Given area, find radius:

[tex] \pi r^2 = 64\pi[/tex]

[tex]r^2 = 64[/tex]

[tex]r = 8 \text { in}[/tex]

Radius of the circular window in the living room = 8 + 4 = 12 in 


[tex]\boxed {\boxed {\text{Circumference of a circle = } 2\pi r}}[/tex]

[tex]\text{circumference = } 2 \times 3.14 \times 12[/tex]

[tex]\text{circumference = } 75.36 \text { in}[/tex]

[tex]\boxed {\boxed {\text{Answer: Circumference = 75.36 in}}}[/tex]

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