Question

Challenge How many flowers, spaced every 6 in., are needed to surround a circular garden with a

Answer 1

Answer:

1,256 flower

Step-by-step explanation:

First, we need to calculate the circumference of the circle. The formula for the circumference of the circle is:

C

=

2

π

r

If we substitute

100

ft

for

r

and use

3.14

to approximate

π

we get a circumference of:

C

=

2

⋅

3.14

⋅

100

ft

C

=

6.28

⋅

100

ft

C

=

628

ft

We can now convert the circumference in feet to inches;

628

ft

×

12

in

1

ft

⇒

628

ft

×

12

in

1

ft

⇒

628

×

12

in

⇒

7536

in

To find how many flowers we need we can divide the circumference in inches by the 6 inches between flowers giving:

7536

in

×

1

flower

6

in

⇒

7536

in

×

1

flower

6

in

⇒

7536

×

1

flower

6

⇒

7536

flower

6

⇒

1256

flower

You would require 1,256 flowers