Question

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

Answer 1

Answer:

Number of flowers required = 1256

Step-by-step 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

                                                   ≈ $\frac{6}{12}$

                                                   = 0.5 ft

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

                               = $\frac{628.32}{0.5}$

                               = 1256.63

                               ≈ 1256

Therefore, number of flowers required = 1256