elizabeth buys a circular rug with a lace border. the lace is 12.56 feet long what is the diameter of the rug
2 answers:
We know that the lace is also what we would call the circumference of the circle.
And we also know that the circumference of a circle is represented by the equation:
.
We then can use the length of the lace (12.56 ft) to solve for the diameter (d) of the rug. Let us solve for that now:
We now know that the diameter of the rug is 4 ft.
And we also know that the circumference of a circle is represented by the equation:
We then can use the length of the lace (12.56 ft) to solve for the diameter (d) of the rug. Let us solve for that now:
We now know that the diameter of the rug is 4 ft.
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Answer:
The coordinates of the center of this circle are (-5 , -3)
Step-by-step explanation:
* Lets explain how to solve the problem
- The mid-point of the segment whose endpoints are (x1 , y1) , (x2 , y2)
is
- AB is the diameter of circle T
∵ The diameter must passing through the center of the circle
∵ The center of the circle is the mid-point of all diameters of the circle
∵ The center of the circle is point T
∴ T is the mid point of the diameter AB
- Lets calculate the coordinates of point T by using the rule above
∵ A = (-9 , -1) and B = (-1 , -5)
∵ T is the mid-point of AB
- Let A = (x1 , y1) , B = (x2 , y2) and T = (x , y)
∴ x1 = -9 , x2 = -1 and y1 = -1 , y2 = -5
∴
∴
∴ The coordinates of point T are (-5 , -3)
* The coordinates of the center of this circle are (-5 , -3)