The three rugs will cover an area of 108π square feet.
Step-by-step explanation:
Given,
Radius of each rug = 6 feet
Number of rugs bought = 3
As the rugs are circular;
Area covered by each rug = πr²
Area covered by each rug =
Area covered by each rug =
Area covered by each rug = 36π square feet
Area covered by 3 rugs = 36π*3 = 108π square feet
The three rugs will cover an area of 108π square feet.
Keywords: circle, area
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Answer:
No, she cannot use a ratio of 21 to 6. You can figure this out in a few different ways. First you can simplify down the fraction 18/3, to get 6/1. 6/1 does not equal 21/6, because 21/6 equals 7/2. However, 6/1 it does equal 36/6. You could also noticed that three doubles to make six, yet 18 does not double to make 21. :D
Step-by-step explanation:
When an equation of circle is expressed in the form:
(x-h)^2 + (y-k)^2 = r^2
(h, k) is the center and r is the radius.
The center = the coordinate you have plotted on the graph.
Radius = how many units long the circle extends to.
SO, let's plug this in.
Coordinate plotted = (0, -4)
0 = h
-4 = k
(x - {0})^2 + (y - {-4})^2 = 2^2
(x - 0)^2 + (y + 4)^2 = 4
(whenever we have two negative signs next to each other, it turns the digit to the right of the final negative sign positive.)
Now we are left with this final equation as a solution:
x^2 + (y + 4)^2 = 4.
I hope this helped~!
The standard form of a circle:
- the coordinates of a center of a circle
- the radius
We have:
the center:
the radius:
substitute