Question

mr. aba builds a circular patio with a diameter of 12 feet. he covers the patio with paving stones. the cost of the paving stones is $10.50 per square foot. to the nearest dollar, how much do the paving stones cost?
a $126
b $378
c $1,187
d $4,748
the stained - glass window shown is a half circle. what is the perimeter of the window? use 3.14 for $pi$. show your work.

Explanation:

Step1: Find the radius of the circular patio

The diameter $d = 12$ feet, and the radius $r=\frac{d}{2}=\frac{12}{2}=6$ feet.

Step2: Calculate the area of the circular patio

The area formula of a circle is $A=\pi r^{2}$. Using $\pi = 3.14$ and $r = 6$ feet, we have $A=3.14\times6^{2}=3.14\times36 = 113.04$ square - feet.

Step3: Calculate the cost of the paving stones

The cost per square - foot is $\$10.50$. So the total cost $C=10.50\times A=10.50\times113.04 = 1186.92\approx1187$ dollars.

Answer:

C. $1,187$