The seventh- grade class is building a mini- golf game for the school carnival. The end of the putting green will be a circle if the circle is 10 feet in diameter, how many square feet of grass carpet will they need to buy the cover the circle

Respuesta :

Answer:

78.5 square feet of grass carpet will they need to buy to cover the circle.

Step-by-step explanation:

Given

Diameter of a circle = 10 feet.

To find:

The grass carpet area need to cover the circular part.

Solution:

For circular part area is given as

[tex]\textrm{area of circle} = \pi \times r^{2}[/tex]

where r is the radius of the circle

d be the diameter of circle.

Also we know the radius is equal to half of the diameter.

∴ [tex]r = \frac{d}{2} \\r = \frac{10}{2}\\r = 5\ feet[/tex]

substituting the value of r i.e radius in the above formula we get

[tex]\textrm{area of circle} = \pi \times 5^{2}[/tex]

[tex]= 3.14\times 25\\= 78.5\ square\ feet[/tex]

Therefore,78.5 square feet of grass carpet will they need to buy to cover the circle.

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