A circular garden with a radius of 8 feet is surrounded by a circular path with a width of 3 feet. What is the approximate area of the path alone? Use 3.14 for

area of the path alone is 178.98 ft²

Step-by-step explanation:

Since the circular garden is surrounded by a circular path, two circles are formed.

The formula for determining the area of a circle is expressed as

Area = πr²

Where

r represents the radius of the circle.

π is a constant whose value is 3.14

Considering the circular garden,

Radius = 8 ft

Area = 3.14 × 8² = 200.96 ft²

Considering the circular garden and the circular path together,

Radius = 8 + 3 = 11 ft

Area = 3.14 × 11² = 379.94 ft²

Area of the path alone is the circular garden and the circular path together - area of circular path

It becomes

379.94 - 200.96 = 178.98 ft²

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or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!