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Is length of tangent to a circle from an external point is always greater than radius of circle?
Yes, the length of the tangent from an external point to a circle is always greater than the radius of the circle. This is because the tangent line is perpendicular to the radius at the point of contact, forming a right triangle where the radius is one leg and the tangent is the hypotenuse. Since the hypotenuse is always longer than either leg in a right triangle, the tangent length must exceed the radius.
What else can I help you with?
What is the length of the tangent from the external point D to point B?
To find the length of the tangent from an external point D to point B on a circle, you can use the formula ( \text{Length} = \sqrt{d^2 - r^2} ), where ( d ) is the distance from point D to the center of the circle, and ( r ) is the radius of the circle. If you have the specific values of ( d ) and ( r ), you can substitute them into the formula to calculate the length of the tangent.
A tangent circle passes always through the center of the circle?
A line joining the centres of two tangent circles also passes through the point of tangency.
What is the relationship between the length of a tangent and a secant?
The relationship between the length of a tangent and a secant in a circle can be described using the tangent-secant theorem. According to this theorem, if a tangent segment is drawn from a point outside the circle to a point of tangency, and a secant segment is drawn from the same external point to intersect the circle at two points, then the square of the length of the tangent segment equals the product of the lengths of the entire secant segment and its external segment. Mathematically, if ( T ) is the length of the tangent and ( S ) is the length of the secant, the relationship can be expressed as ( T^2 = S \cdot (S - P) ), where ( P ) is the length of the part of the secant inside the circle.
Tangent of a circle is what?
A tangent of a circle is a straight line that touches the circle at only one point.
The line doesn't touch the middle of circumfrance what is it called?
A line that does not touch the circumference of a circle is called a "secant" if it intersects the circle at two points, or an "external tangent" if it runs parallel to the circle without intersection. However, if the line is entirely outside the circle and does not intersect it, it is simply referred to as a "non-intersecting line" or "external line." In contrast, if a line touches the circumference at exactly one point, it is called a "tangent."
What is the Radius tangent theorem?
The tangent of a circle always meets the radius of a circle at right angles.
Theorem Length of tangent drawn from external point to a circle are equal?
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What is the relationship between a tangent line and a radius in a circle?
A tangent line is always perpendicular to the radius.
What happens between a radius and a tangent in a circle?
A tangent is always perpendicular to the radius of a circle. A radius is a straight line going from the center of the circle to the circumference (edge) of the circle. A tangent is a straight line outside the circle that touched the circle at one (and only one) point. When a tangent touches the outside edge of the circle at the same point where a radius touches the edge of the circle, the angle between the radius and tangent line is 90 degrees meaning they are perpendicular.
What is the length of the tangent from the external point D to point B?
To find the length of the tangent from an external point D to point B on a circle, you can use the formula ( \text{Length} = \sqrt{d^2 - r^2} ), where ( d ) is the distance from point D to the center of the circle, and ( r ) is the radius of the circle. If you have the specific values of ( d ) and ( r ), you can substitute them into the formula to calculate the length of the tangent.
A tangent circle passes always through the center of the circle?
A line joining the centres of two tangent circles also passes through the point of tangency.
Does always a tangent to a circle pass through the center of the circle?
the tangent will never go through the center of a cirlce. The tangent is, by definition, a line that only intersects the circle at one point. If you look down a pencil along its long axis, so that it appears to be a circle, and place your finger on top of and perpendicular to the pencil, your finger is now tangent to the circle you see.
What is the relationship between the length of a tangent and a secant?
The relationship between the length of a tangent and a secant in a circle can be described using the tangent-secant theorem. According to this theorem, if a tangent segment is drawn from a point outside the circle to a point of tangency, and a secant segment is drawn from the same external point to intersect the circle at two points, then the square of the length of the tangent segment equals the product of the lengths of the entire secant segment and its external segment. Mathematically, if ( T ) is the length of the tangent and ( S ) is the length of the secant, the relationship can be expressed as ( T^2 = S \cdot (S - P) ), where ( P ) is the length of the part of the secant inside the circle.
Tangent of a circle is what?
A tangent of a circle is a straight line that touches the circle at only one point.
Can a line be tangent to one circle and a secant to the other in concentric circles?
Yes, it can as long as it is not the tangent line of the outermost circle. If it is tangent to any of the inner circles it will always cross the outer circles at two points--so it is their secant line--whereas the tangent of the outermost circle is secant to no circle because there are no more circles beyond that last one.
What is the Tangent Line to Circle Theorem?
The Tangent Line to Circle Theorem states that a line is tangent to a circle if and only if it's perpendicular to the circle's radius.
What does the radius-tangent theorem state?
The radius-tangent theorem states that a radius drawn to the point of tangency of a circle is perpendicular to the tangent line at that point. This theorem is based on the fact that the radius of a circle is always perpendicular to the tangent line at the point where the tangent touches the circle. This relationship is crucial in geometry and helps in solving various problems related to circles and tangents.
