Question

A new restaurant is attracting customers with searchlights. Out of curiosity, the owner measures one searchlight and calculates that it has an area of 12.56 square feet. What is the searchlight's circumference?

Use 3.14 for ​.

​

Answer 1

Answer:

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Answer 2

The circumference of the search light  is 25.12 ft

Step-by-step explanation:

here ,

area of the search light = 12.56 ft²

assuming that the search light is in the shape of circle

thus '

area of circle = $\pi r^2$

using $\pi = 3.14$ and r is the radius

then

area of circle = $\pi r^2$

12.56 = 3.14 × r²

$r^2 = \frac{12.56}{3.14 }$

r² = 4

r = √4

r = 2

The radius of the search light is 2 ft

then

circumference of the search light = $2\pi r$

= 2× 3.14 × 4

= 25.12 ft

hence , The circumference of the search light  is 25.12 ft

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