Question

You need to buy fertilizer for a circular flower bed with a diameter

of 13 feet. If one bag will fertilize 10 square feet, how many bags
do you need to buy?

Answer 1

14 bags of fertilizer are needed

Solution:

Given that You need to buy fertilizer for a circular flower bed with a diameter

of 13 feet

Diameter = 13 feet

`radius = (diameter)/(2)`

`radius = (13)/(2) = 6.5`

Therefore radius of circular flower bed is 6.5 feet

Area of circle is given as:

`\text{ area of circle } = \pi r^2`

Substitute r = 6.5

`\text{ area of circle } = 3.14 * 6.5^2 = 132.665`

Given that one bag will fertilize 10 square feet

1 bag = 10 square feet

Then number of bags needed are:

`\rightarrow (132.665)/(10) = 13.2665`

Thus approximately 14 bags of fertilizer are needed