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How many​ flowers, spaced every 4 ​in., are needed to surround a circular garden with a 125​-ft ​radius? Use 3.14 for pi

Respuesta :

Answer:

2356 flowers

Step-by-step explanation:

The number of flowers will be given by

F=1+p/s

Where p is perimeter and s is rhe spacing

Perimeter of a circle is given by

[tex]P=2\pi r[/tex]

Where r is the radius of the garden.

Substituting 125 ft for radius, rhe perimeter will be

[tex]P=2*3.14*125=785 ft[/tex]

Conversion

Converting ft to inches, we multiply ft by 12 hence 785*12=9420 inches

Number of flowers will then be

F=1+9420/4=1+2355=2356 flowers