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How do you find the radius of a circle given the coordinates of the center and edge?
Wiki User
∙ 15y ago
You just need to know the distance between the two points.
The distance between (x1, y1) and (x2, y2) is given by:
d = SQRT((x2-x1)2+(y2-y1)2)
So, square the difference of the X coordinates, and add the square of the difference of the Y coordinates, and then take the square root.
QED
And here it is for idiots!
To find the length of the radius of the circle you need to create a triangle where the radius is the longest line.
For this example mark up a sheet of squared paper with both an x & y axis then draw a circle where the coordinates of the centre are 4,4 and the point on the edge is at 5,6 (it's easy if you use a compass for this example).
Now draw a line from both axes through the centre point and another to the point on the circumference. You will now have a right angled triangle where the radius is the longest line. Now use good old Pythagoras theory to calculate the length of the radius.
It's fun! Especially if you're as rubbish as me at working out square roots!!
Hope that helps.
Wiki User
∙ 15y ago
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What is the set of all points in a plane that are a given distance from a given point?
That's a "circle". The given distance is the circle's radius, and the given point is the circle's center.
What name is given to any line segment that connects the center to a point on a circle?
That's a radius of the circle.
How do you calculate the radius given the diameter?
Radius of a circle = diameter/2
What is the radius of a circle if given the circumfrence?
The circumference (c) of a circle = 2πr (where r = radius). Therefore if you know the circumference, the radius (r) = c/2π.
How do you find the radius of an inscribed circle of a square given the area of the circle?
If yo have the area of the circle, the square is irrelevant. Radius = sqrt(Area/pi)
What is an arc central angle and radius of the circle?
Radius: A line from the center of a circle to a point on the circle. Central Angle: The angle subtended at the center of a circle by two given points on the circle.
How do you calculate the coordinates of chord given the length of radius and chord?
You cannot. If you rotate the circle around its centre, the lengths of the radius and chord will remain the same but the coordinates of the chord will change.
What is the set of all points in a plane that are a given distance from a given point?
That's a "circle". The given distance is the circle's radius, and the given point is the circle's center.
Given the coordinates xy of a center of a circle and its radius write a program which will determine whether a point lies inside the circleon the circle or outside the circle conditional statements?
Center is at (Xc, Yc ). Radius = R. ======================================= Print "Input the coordinates of point 'P', separated by a comma." Input A, B D = (Xc - A)2 + (Yc - B)2 If D < R2 then print "'P' is inside the circle." If D = R2 then print "'P' is on the circle." If D > R2 then print "'P' is outside the circle." by arup nandy
The endpoints of a diameter are given Identify an equation of the circle?
1. Find the coordinates of the center of the circle. Call it point (a, b). To find this point, calculate the average of the x-coordinates of the endpoints, and also the average of the y-coordinates. 2. Find the radius of the circle. Use the formula for distance (which is based on Pythagoras' Theorem). Call the length of the radius "r". 3. The formula for the circle is (x - a)2 + (y - b)2 = r2. Replace the values you found earlier.
if the center of a circle with a radius of three units is 11 what other points are there?
A circle is a two dimensional shape and so two coordinates are reuired to identify its centre - only one is given. As a result, the question is underspecified, and cannot be answered.
How do you find the centre of a circle given part of a radius?
You would have to know the length of the radius. The center of the circle is at one end of the radius. If you just know where some part of the radius is, and not that the part touches the circle then you cannot know where the center is without at lest a point on the circumference.
What name is given to any line segment that connects the center to a point on a circle?
That's a radius of the circle.
One radius of a circle is the same length as any other radius of any other radius?
The radius is the distance from the center of the circle to its edge. No matter how you draw this radius, it is one value of one length only, for any given circle.
What is the set of points in a plane that are given distance from a point?
That's a figure called a "circle". The given distance is the circle's radius, and the point is its center.
Define radius of a circle?
In order to fully understand what the radius of a given circle is, you must know the diameter. The diameter is the distance across the circle through the center. The radius of a circle is half the diameter. For example, if the diameter of a circle is 8 inches, then the radius would be 4 inches.
Which term best describes the collection of all points in a plane that are the same distance from a given point in a plane?
"Circle". That "same distance" is the radius of the circle, and that "given point" is the center of the circle.
