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Point of intersection between a tangent and circle?
A line tyhat's tangent to a circle intersects the circle in exactly one single point. The radius drawn to that point is perpendicular to the tangent.
Is the tangent of a circle its radius?
No, a tangent is a line that intersects a circle at exactly one point. The radius of a circle is the distance from the center of the circle to any point on the perimeter of the circle.
What is part of a circle?
Parts of a circle are:- Circumference Diameter Radius Chord Segment Sector Tangent
What type of angle is formed by a tangent and a radius?
The angle between the radius and the tangent is a right angle of 90 degrees.
What is the length of the tangent line from the point 8 2 to a point where it touches the circle of x2 plus y2 -4x -8y -5 equals 0?
The tangent of a circle is perpendicular to the radius to the point of contact (Xc, Yc).The point (Xg, Yg), the centre of the circle (Xo, Yo) and the point of contact of the tangent (Xc, Yc) form a right angle triangle.The leg from the point (Xg, Yg) to the point of contact (Xc, Yc) is the required lengthThe leg from the centre of the circle (Xo, Yo) to the point of contact (Xc, Yc) has length equal to the radius (r) of the circleThe hypotenuse is the length between the point (0, 0) and the centre of the circle (Xo, Yo).To solve this:Find the centre (Xo, Yo) of the circle, and its radius r;Use Pythagoras to find the length between the point (Xg, Yg) and the centre of the circle (Xo, Yo);Use Pythagoras to find the length between the point (Xg, Yg) and the point of contact (Xc, Yc) of the tangent - the required length.Hint: a circle with centre (Xo, Yo) and radius r has an equation of the form:(x - Xo)² + (y - Yo)² = r²Have a go at solving it now you know how, before reading the solution below:------------------------------------------------------------------------------Circle:x² + y² - 4x - 8y - 5 = 0→ x² - 4x + y² - 8y - 5 = 0→ (x - (4/2))² - (4/2)² + (y - (8/2))² - (8/2)² - 5= 0→ (x - 2)² - 4 + (y - 4)² - 16 - 5 = 0→ (x - 2)² + (y - 4)² = 25 = radius²→ Circle has centre (2, 4) and radius √25 = 5Line from centre of circle (2, 4) to the given point (8, 2):Using Pythagoras to find length of a line between two points (x1, y1) and (x2, y2):length = √((x2 - x1)² + (y2 - y1)²)To find length between given point (8, 2) and centre of circle (2, 4)→ length = √((2 - 8)² + (4 - 2)²)= √((-6)² + 2²)= √40Tangent line segment:Using Pythagoras to find length of tangent between point (8, 2) and its point of contact with the circle:centre_to_point² = tangent² + radius²→ tangent = √(centre_to_point² - radius²)= √((√40)² + 25)= √65≈ 8.06
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 Radius tangent theorem?
The tangent of a circle always meets the radius of a circle at right angles.
A line that touches the circle at one point?
A tangent is a line that touches a circle at exactly one point. It is perpendicular to the radius at the point of contact.
Point of intersection between a tangent and circle?
A line tyhat's tangent to a circle intersects the circle in exactly one single point. The radius drawn to that point is perpendicular to the tangent.
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.
What happens where a radius meets the tangent?
The radius and the tangent are perpendicular at the point on the circle where they meet.
Is the tangent of a circle its radius?
No, a tangent is a line that intersects a circle at exactly one point. The radius of a circle is the distance from the center of the circle to any point on the perimeter of the circle.
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.
In circle A below the radius is 3 and BC is tangent to the circle. Find BC?
Not enough information has been given to find the tangent BC but it will be perpendicular or at right angles to the radius of the circle.
What is line perpendicular to radius of circle called?
A tangent.
If a circle of radius 2 is externally tangent to a circle of radius 8 what is the length of their common tangent?
the length of thr direct common tangent will be 2*{1/2 power of (r1*r2)} the answer will be 8 units in this case...
