personm21
24.03.2020 •
Mathematics
The point (1,4) lies on a circle that is centered at (1, 1). Which statements are correct?
The circle's radius is 2 units.
The circle's radius is 3 units.
The circle's radius is 9 units.
The point (-2, 1) lies on the circle.
The point (3,3) lies on the circle.
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Ответ:
The circle's radius is 3 units.
Step-by-step explanation:
Let's get to the answer using the formula for EQUATION OF A LINE at the center of a circle.
The equation is expressed as:
(x - h) ^2 +. (y - k) ^ 2 = r ^2
Where:
(h, k) = The center of the circle
(x, y) = Some points around the circle
(r) = Radius of the circle
Let's apply the formula to solve the question:
(x - h) ^2 +. (y - k) ^ 2 = r ^2
(1 - 1)^2 + (4 - 1)^2 = r^2
0^2 + 3^2 = r^2
0 + 9 = r^2
r^2 = 9
r = √9
r = 3
Therefore,
The circle's radius is 3 units.
Ответ:
s = 6 feet
Step-by-step explanation:
Given that,
The volume of the cube, V = 216 feet³
We need to find the side length for the cubical box. We know that the volume of the cube is given by :
, s is the side length of the box.
So,
So, the side length for the cubical box is equal to 6 feet.