Question

How many​ flowers, spaced every 6 ​in., are needed to surround a circular garden with a ​100-ft ​radius?

Answer 1

Number of flowers required = 1256

Explanation:

Circumference of a circle is given by the formula,

Circumference = 2πr

Here, r = radius of the circle

For a circle with radius = 100 in.

Therefore, circumference = 2π(100)

= 200π

= 628.32 ft

Distance between each flower = 6 in

≈
`(6)/(12)`

= 0.5 ft

Number of flowers =
`\frac{\text{Circumference}}{\text{Space between each flower}}`

=
`(628.32)/(0.5)`

= 1256.63

≈ 1256

Therefore, number of flowers required = 1256