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amid [387]
3 years ago
13

a piece of land 120 ft by 240 ft contains a circular garden. surrounding the garden, there is a circular fence that is 20 ft in

diameter. what is the area of the piece of land that is not part of the garden
Mathematics
1 answer:
damaskus [11]3 years ago
8 0

the area of the piece of land that is not part of the garden is 28,486ft^2 .

<u>Step-by-step explanation:</u>

Here we have , a piece of land 120 ft by 240 ft contains a circular garden. surrounding the garden, there is a circular fence that is 20 ft in diameter.  We need to find what is the area of the piece of land that is not part of the garden . Let's find out:

Let's calculate area of land and circular garden , and in order to find the area of the piece of land that is not part of the garden we will subtract area of circular garden from land !

Area of Land:

Area of land is given by

⇒ length(width)

⇒ 120(240)

⇒ 28,880ft^2

Area of Garden:

Area of circular garden given by

⇒ \pi r^2

⇒ \pi (\frac{D}{2})^2

⇒ \pi (\frac{20}{2})^2

⇒ \pi (10)^2

⇒ 100\pi

⇒ 100(3.14)

⇒ 314ft^2

Hence , the area of the piece of land that is not part of the garden is 28,880-314 = 28,486 . Therefore , the area of the piece of land that is not part of the garden is 28,486ft^2 .

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