Question

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

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

$radius = \frac{diameter}{2}$

$radius = \frac{13}{2} = 6.5$

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

$\text{ area of circle } = 3.14 \times 6.5^2 = 132.665$

Given that one bag will fertilize 10 square feet

1 bag = 10 square feet

Then number of bags needed are:

$\rightarrow \frac{132.665}{10} = 13.2665$

Thus approximately 14 bags of fertilizer are needed