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Using the fact that the centre of a chord is at right angles to the radius

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Q: How do you draw a chord when the perpendicular distance is given?
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How do you find radius of a circle?

Draw a line from any part on the outside of a circle to the exact center of the circle. * * * * * That is fine if you know where the center is but not much use if you are just given a circle and do not know where the exact centre is. In this case: Draw a chord - a straight line joining any two points on the circumference of the circle. Then draw the perpendicular bisector of the chord. Draw another chord and its perpendicular bisector. The two perpendicular bisectors will meet at the centre.


What is the definition of distance from point to line?

It the point is on the line the distance is 0. If the point is not on the line, then it is possible to draw a unique line from the point to the line which is perpendicular to the line. The distance from the point to the line is the distance along this perpendicular to the line.


Draw two intersecting lines but not perpendicular?

draw two intersecting lines that are not perpendicular


What do you use to measure circumference?

Suppose you are given a bangle and you are supposed to measure the circumference. OK? First place it on a paper fixed to a board. Using a fine pencil mark its boundary outer if outer circumference is required. Now draw one chord. Mark AB. Using protractor draw a line perpendicular to the chord at B. Name as BC. Join AC. Measure AC. Multiply AC by 3.14. You would get the required circumference nearly to the accurate one.


What does a chord look like in math?

When you draw a circle in math, and you draw a triangle inside of it, 2 of the lines should be the radius of the circle, and the third (bottom) line that is not the radius is the chord.

Related questions

How do you find radius of a circle?

Draw a line from any part on the outside of a circle to the exact center of the circle. * * * * * That is fine if you know where the center is but not much use if you are just given a circle and do not know where the exact centre is. In this case: Draw a chord - a straight line joining any two points on the circumference of the circle. Then draw the perpendicular bisector of the chord. Draw another chord and its perpendicular bisector. The two perpendicular bisectors will meet at the centre.


What would be a quick way to find the center of the circle?

Draw a chord, then construct a line perpendicular to the center of the chord; it passes through the center of the circle. Do this again with a different chord and the intersection of the two perpendicular lines is the center of the circle.


How do you find the raids of a circle?

Draw any two chords.Draw the perpendicular bisectors of these chords.Find their point of intersection.That is the centre.Use Pythagoras to calculate the distance from the centre to either end of any chord.


What is the definition of distance from point to line?

It the point is on the line the distance is 0. If the point is not on the line, then it is possible to draw a unique line from the point to the line which is perpendicular to the line. The distance from the point to the line is the distance along this perpendicular to the line.


Given radius and chord length. What is the height of arc to midpoint of chord?

Draw the circle O, and the chord AB. From the center, draw the radius OC which passes though the midpoint, D, of AB. Since the radius OC bisects the chord AB, it is perpendicular to AB. So that CD is the required height, whose length equals to the difference of the length of the radius OC and the length of its part OD. Draw the radius OA and OB. So that OD is the median and the height of the isosceles triangle AOB, whose length equals to √(r2 - AB2/4) (by the Pythagorean theorem). Thus, the length of CD equals to r - √(r2 - AB2/4).


How do you find the center of the circle?

-- Draw any two random chords of the circle. -- Construct the perpendicular bisector of each chord. -- The perpendicular bisectors intersect at the center of the circle. All of this can be done with a compass, an unmarked straight-edge, and a pencil.


How many perpendicular can we draw to a line from a given point outside the line?

In a Euclidean plane, only one.


Draw two intersecting lines but not perpendicular?

draw two intersecting lines that are not perpendicular


How do you draw two parallel lines using only a straightedge and a protractor?

Draw a line. Draw a perpendicular to that line then a perpendicular from that one.


What do you use to measure circumference?

Suppose you are given a bangle and you are supposed to measure the circumference. OK? First place it on a paper fixed to a board. Using a fine pencil mark its boundary outer if outer circumference is required. Now draw one chord. Mark AB. Using protractor draw a line perpendicular to the chord at B. Name as BC. Join AC. Measure AC. Multiply AC by 3.14. You would get the required circumference nearly to the accurate one.


How do you find center of a circle given 3 points on the circle?

You have points A, B, and C. Using a compass and straight edge, find a perpendicular bisector of AB (that is, a line that is perpendicular to AB and intersects AB at the midpoint of AB. Next, find a perpendicular bisector of BC. The two lines you found will meet at the center of the circle.


Can you draw a pair of intersecting lines that are perpendicular?

a pair of intersecting lines that are perpendicular