Question

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)

Answer 1

`\boxed {\boxed {\text{Area of a circle = } \pi r^2}}`

Given area, find radius:


`\pi r^2 = 64\pi`


`r^2 = 64`


`r = 8 \text { in}`

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



`\boxed {\boxed {\text{Circumference of a circle = } 2\pi r}}`


`\text{circumference = } 2 * 3.14 * 12`


`\text{circumference = } 75.36 \text { in}`


`\boxed {\boxed {\text{Answer: Circumference = 75.36 in}}}`