The circle above has an area of 36π and is divided into 8 congruent regions. What is the perimeter of one of these regions?


A) 6+1.5π

B) 6+2π

C) 12+ 1.5π

D) 12+2π

Respuesta :

The perimeter of each region is 12 + 1.5π if a circle with an area of 36π is divided into 8 congruent regions

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Let r represent the area of the circle, hence:

Area = πr²

36π = πr²

r = 6 units

Perimeter = 2πr = 2π(6) = 12π

The circle has 8 congruent regions, hence:

Perimeter of each region = 6 + 6 + 12π/8 = 12 + 1.5π

The perimeter of each region is 12 + 1.5π if a circle with an area of 36π is divided into 8 congruent regions

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