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How do you draw a tangent to a circle from a point on its circumference?
Wiki User
∙ 12y ago
Construct a line at right angles to the diameter at the tangent point. this is a tangent to the circle at that point.
Detailed instructions with compass and straight edge:Given: circle C with a point T on the circumferenceSought: Tangent to C at T
- Find the center circle C
- Place the needle of the compass on the (circumference of) circle C (anywhere), draw a circle [circle 1]
(I think circle 1 has to be smaller than twice the diameter of circle C).
- Without changing the compass size, place the needle of the compass on the intersection of circles C and circle 1, draw a circle (circle 2)
- Without changing the compass size, place the needle of the compass on the other intersection of circles C and circle 1, draw a circle (circle 3)
- Connect the intersections of circle 1 and circle 2 (one is outside and one inside circle A) this we call [ line 1]
- Connect the intersections of circle 2 and circle 3 (also here one is outside and one inside C) [line 2]
- The intersection of line 1 and Line 2 is [O]. This is the center of circle C
- Draw a line [line 3] from [O] through [T] and beyond
- Place the needle of the compass on the (circumference of) circle C (anywhere), draw a circle [circle 1]
- Construct the diameter of the circle at [T] (the point for the tangent) and extend it beyond the circumference of circle C
- With your compass needle at [T] mark off equal distances on [line 3] inside and outside circle C.
We call these points [4] & [5]
- Increase the compass size somewhat and with the needle at [4] draw a circle [circle 4]
- Without changing the compass draw [circle 5] centered on [5]
- With your compass needle at [T] mark off equal distances on [line 3] inside and outside circle C.
- Construct a line perpendicular to line 3 at [T]
- The line through the intersections of circle 4 and circle 5 is the sought tangent at [T]
Note: although the instructions say "draw a circle" often it is sufficient to just mark a short arc of the circle at the appropriate place. This will keep the drawing cleaner and easier to interpret.
Wiki User
∙ 12y ago
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Does a trigonometry tangent relate to a circle's tangent?
A circle's tangent is exactly the same as a triangle's tangent. If you look at a circle, you can make the radius the hypotenuse. Then make a vertical line from the point, and a horizontal line from the center. If you look, you have a triangle made inside the circle. This is why angles can be measured in radians, a unit that is derived from the circumference of a circle.-------------------------------------------------------------------------------------------By doing a little calculus, we find that the slope of the equation of a circle-the slope of the tangent line-is given by the tangent of an angle.AnswerEverything written above is correct, but doesn't have anything to do with tangents (in the circle sense of the word). Suppose you're given an angle theta. Draw a circle together with two radii, one horizontal and the other at an angle theta from the first one. (So far, this is the same as above.) Now draw the tangent to the circle at X, the point where the non-horizontal radius meets the circumference. Let Y be the point where this tangent meets the horizontal line through the centre. Then, assuming the radius is 1, tan(theta) is the distance XY, which is the length of part of the tangent.
Is it possible to draw a circle whose ratio of circumference to diameter is not pi?
No, the circumference divided by the radius will always be pi for a circle.
How do you get a radius?
# Find the center of the circle # Draw the line of the radius from the center to the circumference # Finish
How can you draw tangent to the square?
A straight line that touches its outside corner
A segment that connects the center of a circle to a point on the circle is called?
A segment is not connected to the centre of a circle, it is the area bounded by a Secant (chord) and an arc. Draw a circle, draw a radius (centre to edge). Draw another radius. Where the radii join the circle edje draw a line joining the two points. This is the secant. You should be able to see a triangle and and a half moon shape. The half moon shape is the segment. The segment and the triangle make up a sector.
How do you draw a tangent on a point on a ciricle?
Draw a line from the center of the circle to the edge. Where this line intersects the edge draw a line 90 degrees to it. This line is the tangent at the point of intersection.
Does a trigonometry tangent relate to a circle's tangent?
A circle's tangent is exactly the same as a triangle's tangent. If you look at a circle, you can make the radius the hypotenuse. Then make a vertical line from the point, and a horizontal line from the center. If you look, you have a triangle made inside the circle. This is why angles can be measured in radians, a unit that is derived from the circumference of a circle.-------------------------------------------------------------------------------------------By doing a little calculus, we find that the slope of the equation of a circle-the slope of the tangent line-is given by the tangent of an angle.AnswerEverything written above is correct, but doesn't have anything to do with tangents (in the circle sense of the word). Suppose you're given an angle theta. Draw a circle together with two radii, one horizontal and the other at an angle theta from the first one. (So far, this is the same as above.) Now draw the tangent to the circle at X, the point where the non-horizontal radius meets the circumference. Let Y be the point where this tangent meets the horizontal line through the centre. Then, assuming the radius is 1, tan(theta) is the distance XY, which is the length of part of the tangent.
What is a tangent line with respect to a circle?
A tangent to a circle is a line which touches the circle once. That is, it does not pass through the circle, which would mean intersecting it twice. A way to form a tangent is draw any line from the centre point of a circle to its edge. A line on the edge perpendicular (at 90 degrees to) this line will be a tangent.
Prove that the perpendicular at the point of contact to the tangent to a circle passes through the center?
Draw a circle with centre O. draw a tangent PR touching circle at P. Draw QP perpendicular to RP at point P, Qp lies in the circle. Now, angle OPR = 90 degree (radius perpendicular to tangent) also angle QPR = 90 degree (given) Therefore angle OPR = angle QPR. This is possible only when O lies on QP. Hence, it is prooved that the perpendicular at the point of contact to the tangent to a circle passes through the centre. Answer By- Rajendra Meena, Jaipur, India. email: rajendra.meena21@gmail.com
What Are The steps used in the construction of an equilateral triangle inscribed in a circle?
Draw a circle using a compass. Then, without changing the compass setting, place its point on the circumference of the circle, at any point A, and draw two arcs to intersect the circumference at B and C. Move the compass to B and draw another arc to intersect the circumference at D; and then from C to E. ADE will be an inscribed equilateral triangle.
Does a tangent intersect a circle twice?
no. you have to draw it such that it doesn't.
How do you make transverse common tangent to two circles?
You join the centres of the two circles. Divide this line in the ratio of the two radii. Draw the tangent from this point to either circle and extend it to touch the other circle.
Divide a circle into 12 equal parts?
Use a pair of compasses to draw a circle. Without changing the compasses, place the point of the compasses on the circumference and draw a small arc such that it intersects the circumference. Put the point on this intersection and repeat until you have 6 equally spaced "intersections". Select 2 adjacent intersections and, from each of them, draw an arc outside the circumference such that the 2 arcs intersect. Draw a line from this intersection to the centre of the circle. This line intersects the circumference halfway between the adjacent points. With the compasses set to the original radius of the circle (it's better to leave them fixed at this throughout!) place the compasses' point on the intersection of the straight line and the circumference then draw a series of arcs, as you did originally. These will complete the division by 12
Why is not possible to draw a circle with a circumference of 100cm?
It is possible. Just keep the drawing instrument 15.915 cm from a set point (the circle's center).
Is it possible to draw a circle whose ratio of circumference to diameter is not pi?
No, the circumference divided by the radius will always be pi for a circle.
How do you Draw Circles in GstarCAD?
The default method for drawing a circle is to specify a center point and radius.You can draw circles using any of the following methods:Center-RadiusCenter-DiameterTwo pointsThree pointsRadius-Tangent-TangentConvert Arc to CircleTo draw a circle by specifying its center and radiusDo one of the following:Choose Draw> Circle>center, radiusOn the Draw 2D toolbar, click the Circle Center-Radius tool.Type circle and then press Enter.Specify the center point.Specify the radius of the circle.
Is it possible to draw a circumference circle of 33cm?
Yes
