Answer:
D. 18 bags
Step-by-step explanation:
Given:
Matilda is filling a circular section of her porch with colorful pebbles.
Diameter of circular section = 15 feet.
Each bag of pebbles covers 10 square feet.
Question asked:
How many bags of pebbles will Matilda need?
Solution:
Diameter of circular section = 15 feet
Radius, r = [tex]\frac{Diameter}{2}=\frac{15}{2} =7.5\ feet[/tex]
[tex]Area\ of\ circular\ section=\pi r^{2}[/tex]
[tex]=\frac{22}{7} \times7.5\times7.5=\frac{1237.5}{7}=176.78} \ square\ feet[/tex]
10 square feet is covered by number of bag of pebbles = 1
1 square feet is covered by number of bag of pebbles = [tex]\frac{1}{10}[/tex]
176.78 square feet is covered by number of bags of pebbles =
[tex]\frac{1}{10}\times176.78=17.67[/tex]
We found up to 17 bags of pebbles there is still some place left to fill the section:-
Thus, Matilda need about 18 bags of pebbles to fill the circular section of her porch.
