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Asked by: Abelardo Harvey
Updated: 7 May 2020 03:16:00 PM

What does radius mean in math?

more The distance from the center to the circumference of a circle. It is half of the circle's diameter.

Considering this what's a radius in math?

In classical geometry, a radius of a circle or sphere is any of the line segments from its center to its perimeter, and in more modern usage, it is also their length. The name comes from the Latin radius, meaning ray but also the spoke of a chariot wheel.

Moreover, what does radius mean?

1 : a line segment extending from the center of a circle or sphere to the circumference or bounding surface. 2a : the bone on the thumb side of the human forearm also : a corresponding part of vertebrates above fishes.

In addition people ask what is Radius in simple words?

noun, plural ra·di·i [rey-dee-ahy], ra·di·us·es. a straight line extending from the center of a circle or sphere to the circumference or surface: The radius of a circle is half the diameter. the length of such a line. any radial or radiating part.
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Related questions and answers

What represents a function on a graph?

The vertical line test can be used to determine whether a graph represents a function. A vertical line includes all points with a particular x value. The y value of a point where a vertical line intersects a graph represents an output for that input x value. A function has only one output value for each input value.

What is mean by Radius and Diameter?

Definitions. The radius of a circle is any line segment connecting the centre of the circle to any point on the circle. The chord of a circle is a line segment joining any two points on the circle. The chord of a circle which passes through the centre of the circle is called the diameter of the circle.

What is the radius of the diameter is 4?

Use the diameter to find the radius by dividing the diameter by 2. For example, if the diameter is 4, the radius would be 2.

What is radius length?

The radius of a circle is the length of the line from the center to any point on its edge. The plural form is radii (pronounced "ray-dee-eye"). In the figure above, drag the orange dot around and see that the radius is always constant at any point on the circle.

Which set is a function?

A function is a set of ordered pairs in which no two different ordered pairs have the same x -coordinate. An equation that produces such a set of ordered pairs defines a function.

What is the equation to find the radius of a circle?

We know that the general equation for a circle is ( x - h )^2 + ( y - k )^2 = r^2, where ( h, k ) is the center and r is the radius.

How do you use the vertical line test to identify a function?

To use the vertical line test, take a ruler or other straight edge and draw a line parallel to the y-axis for any chosen value of x. If the vertical line you drew intersects the graph more than once for any value of x then the graph is not the graph of a function.

How do you find the radius?

Just remember to divide the diameter by two to get the radius. If you were asked to find the radius instead of the diameter, you would simply divide 7 feet by 2 because the radius is one-half the measure of the diameter. The radius of the circle is 3.5 feet. You can also use the circumference and radius equation.

How do you find the equation of a line?

The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept. If you a point that a line passes through, and its slope, this page will show you how to find the equation of the line. Fill the point that the line passes through

What is a radius and diameter?

The diameter is a straight line that passes through the center of the circle. The radius is half of the diameter. It starts from a point on the circle, and ends at the center of the circle.

Is a circle on a graph a function?

The first graph is a circle, the second is an ellipse, the third is two straight lines, and the fourth is a hyperbola. In each example, there are values of x for which there are two values of y. So these are not graphs of functions.

How do you write the standard equation of a circle?

The standard form of a circle's equation is (x-h)² + (y-k)² = r² where (h,k) is the center and r is the radius. To convert an equation to standard form, you can always complete the square separately in x and y.

What is standard form of a circle?

The graph of a circle is completely determined by its center and radius. Standard form for the equation of a circle is (x−h)2+(y−k)2=r2. The center is (h,k) and the radius measures r units.

Is a circle a function?

Even though a vertical line through (3,0) or (-3,0) would intersect the circle only once, the Vertical Line Test has to work for every vertical line drawn through the graph. This graph fails the Vertical Line Test, so a circle is not a function.

How do you teach diameter and radius?

Answer: Radius = 4 in., diameter = 8 in., circumference =25.12 in. The diameter is always twice as long as the radius. So, if our diameter is 6 feet, the radius must be half as long as that. So the radius is 3 feet long.

How do you find the radius of a circle with the center and a point?

Note that the radius squared is on the left-hand side of the equation. The equation of a circle with center (a,b) and radius r is (x−a)2+(y−b)2=r2.

Is a straight line a function?

1 Answer. No, every straight line is not a graph of a function. Nearly all linear equations are functions because they pass the vertical line test. The exceptions are relations that fail the vertical line test.

How do you tell if a graph is a function?

Use the vertical line test to determine whether or not a graph represents a function. If a vertical line is moved across the graph and, at any time, touches the graph at only one point, then the graph is a function. If the vertical line touches the graph at more than one point, then the graph is not a function.

What is a circle function?

Equation of a Circle. The technique of completing the square is used to turn a quadratic into the sum of a squared binomial and a number: (x – a)2 + b. The center-radius form of the circle equation is in the format (x – h)2 + (y – k)2 = r2, with the center being at the point (h, k) and the radius being "r".

How do you find the diameter without the radius?

Divide the circumference (perimeter) by pi. That gives you the diameter. Half of that is the radius. To get the area, square the radius, and then multiply by pi.

Why the vertical line test determines if a graph is a function?

The vertical line test can be used to determine whether a graph represents a function. If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because a function has only one output value for each input value.

What is a function and how can I identify one?

An easy way to determine whether a function is a one-to-one function is to use the horizontal line test on the graph of the function. To do this, draw horizontal lines through the graph. If any horizontal line intersects the graph more than once, then the graph does not represent a one-to-one function.

How do you find the radius of a circle given two points?

According to the distance formula, this is √(x−0)2+(y−0)2=√x2+y2. A point (x,y) is at a distance r from the origin if and only if √x2+y2=r, or, if we square both sides: x2+y2=r2. This is the equation of the circle of radius r centered at the origin.