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A circle with centre (x0, y0) and radius r has the equation of:
(x -x0)² + (y - y0)² = r²
By writing the equation of any circle in this form its centre and radius can be determined.
To completely lie within a quadrant, the centre of the circle must be more than r away from the y- and x-axes:
- In the first quadrant if: x0 > r and y0 > r
- In the second quadrant if: x0 < -r and y0 > r
- In the third quadrant if: x0 < -r and y0 < -r
- In the fourth quadrant if: x0 > r and y0 < -r
If either x0 or y0 (or both) is exactly r away from the y- or x-axis then the circle is on boundary between quadrants, and if either x0 or y0 (or both) is less than r away from the y- or x-axis, then the circle is in more than one boundary.
f x0 < r from the y-axis then the circle is in quadrants I and II, or y0 < r from the x-axis then the circle is in quadrants III and IV; if both less than r away from their respective axes, the the circle is in all four quadrants.
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What to draw for polytheism?
A circle with 5 circles within it...that's the symbol for it
If there are two nonoverlapping nonintersecting circles in a plane four lines can be tangent to both circles at the same time How could the circles be arranged so that there are 3 or 2 or 1 or 0 li?
Hey, this one is nice! I will venture the following: * 3: make them tangent in one point, with no intersection * 2: make them have a small intersection, ie. crossing in two points * 1: make them tangent from the inside * 0: make one fall completely within the other Giving the explanation would just be killing the imagination.
There are 5 overlapping circles place one of the numbers 1 to 9 in each space so that the total in each circle is the same but you are only allowed to use a number once?
The answer will depend on the configuration of the circles: they could overlap only pairwise - a bit like the Olympic rings, or they could have regions where several circles overlap. One configuration could be as follows. In order to visualize the circles, draw them yourself, following these instructions carefully:- Draw your first circle, maybe about 8cm in diameter. Write '5' in the center. Draw another circle to the left, with its center about 0.5 cms inside the circumference of the 1st circle, ensuring that the '5' is within this second circle. Write a small '1' just right of center of this second circle, and '9' in the open space of this second circle, i.e. to the far left. Draw a lower circle in the same way, with its center about 0.5 cm up from the circumference of the 1st circle, ensuring that the '5' is within this third circle. Write a small '4' just above center of this third circle, and '6' in the open space of this third circle, i.e. at the bottom. Draw a circle to the right in the same way, with its center about 0.5 cm in from the circumference of the 1st circle, ensuring that the '5' is also within this fourth circle. Write a small '3' just left of center of this fourth circle, and '7' in the open space of this fourth circle, to the far right. Finally, draw an upper circle, with its center about 0.5 cm down from the circumference of the 1st circle, ensuring that the central '5' is also within this fifth circle. Write a small '2' just below center of this fifth circle, and write '8' in the above open space of this circle. -------------------- You will have five circles and will have used each number 1 to 9 only once, each within its own space. Your central circle will have 5,1,4,3,2 (total 15) within its boundaries. The left circle will have 9,1,5 (total 15) within its boundaries. The bottom circle will have 5,4,6 (total 15) within its boundaries. The right circle will have 5,3,7 (total 15) within its boundaries. The top circle will have 8,2,5 (total 15) within its boundaries. And all the requirements of this puzzle are fulfilled. -------------------------------------------
How do you find the venn diagram for union of three sets?
Draw your Venn Diagram as three overlapping circles. Each circle is a set. The union of the sets is what's contained within all 3 circles, making sure not to count the overlapping portion twice. An easier problem is when you have 2 sets, lets say A and B. In a Venn Diagram that looks like 2 overlapping circles. A union B = A + B - (A intersect B) A intersect B is the region that both circles have in common. You subtract that because it has already been included when you added circle A, so you don't want to add that Again with circle B, thus you subtract after adding B. With three sets, A, B, C A union B union C = A + B - (A intersect B) + C - (A intersect C) - (B intersect C) + (A intersect B intersect C) You have to add the middle region (A intersect B intersect C) back because when you subtract A intersect C and B intersect C you are actually subtracting the very middle region Twice, and that's not accurate. This would be easier to explain if we could actually draw circles.
What are convex polygons?
A convex polygon is one with no reflex angles (angles that measure more than 180 degrees when viewed from inside the polygon). More generally a convex set is on where a straight line between any two points in the set lies completely within the set.
What do you call a quadrant within a circle?
A quarter of a circle or a quadrant!
What are circles within circles in aboriginal?
a circle
What is a concetric circles?
Concentric circles are a series of circles within each other.
Examples of concentric circles?
Concentric circles are circles within other circles. Some examples of concentric circles are archery targets, the bullseye on a dart board, the eye, a wheel with a hubcap.
What if there is no x or y-intercept?
Then it could be a straight line segment within a quadrant
What do you call a circle within a circle?
Concentric Circles?
What has the author James Bryce written?
James Bryce has written: 'Account of excavations within the stone circles of Arran' 'Account of excavations within the stone circles of Arran' -- subject(s): Stone circles, Excavations (Archaeology), Antiquities
Concentric circles on the disk surface?
Concentric circles, are circles within circles. Each concentric circle on the surface of a disk represents a track, the narrower the circle is, the more data can be stored on the disk.
How would you explain how to find sine and cosine within each quadrant of a unit circle?
To find the sin/cos at a given point on the unit circle, draw a radius to that point. Then break the radius into components - one completely horizontal and one completely vertical. The sine is the vertical component, the cosine is the horizontal component.
What are circles in a crossword grid?
Circles indicate words contained within longer words and are usually related to the theme of the puzzle.
What to draw for polytheism?
A circle with 5 circles within it...that's the symbol for it
How do you put 7 small circles in 3 big ones so that each big circle has 4 small circles?
You interlock the 3 large circles as in how part of the Olympic rings look, or as in a Venn diagram. So, each large circle shares are a section with each of the other two, and there is a central section that is within all 3 circles. Now, simply place a small circle in each of the 7 sections of the diagram: - the 3 sections that are only in 1 large circle - the 3 sections that are within 2 large circles - the 1 central section that is within all 3 large circles Voila! You have 4 small circles within each large circle.
