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A line touching an arc or circle at only one point perpendicular to the arc's radius is said to be?
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How is an apothem different from a radius?
An apothem is a line drawn perpendicular to a side of a regular polygon from the center of the polygon. A polygon is not a circle so it cannot have a radius. The radius of a circle is drawn from the center to any point in the circumference of the circle. You can draw a circle which encloses the regular polygon touching all vertices. The polygon is said to be inscribed in the circle. The apothem will be less than the radius because the radius is not perpendicular to any side, it can be drawn to a vertex but the apothem is perpendicular to a side, so it is shorter. Ex: draw a square with a circle which inscribes it. You can see that the apothem will be less than the radius.
A line touching an arc or circle at only one point perpendicular to the arcs?
tangent
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 is mean by centre of curvature?
This means the vented of a circle. It is the radius of the circle that is perpendicular to a line tangent to any point on the concave side of a smooth curve.
What line meets the circle at exactly one point?
The tangent line. A secant line hits the circle in two places and forms a cord, but the tangent line only hits the circle in one point and is always perpendicular to the radius of the circle which exists at that point.
How is an apothem different from a radius?
An apothem is a line drawn perpendicular to a side of a regular polygon from the center of the polygon. A polygon is not a circle so it cannot have a radius. The radius of a circle is drawn from the center to any point in the circumference of the circle. You can draw a circle which encloses the regular polygon touching all vertices. The polygon is said to be inscribed in the circle. The apothem will be less than the radius because the radius is not perpendicular to any side, it can be drawn to a vertex but the apothem is perpendicular to a side, so it is shorter. Ex: draw a square with a circle which inscribes it. You can see that the apothem will be less than the radius.
What happens where a radius meets the tangent?
The radius and the tangent are perpendicular at the point on the circle where they meet.
If a radius of a circle is perpendicular to a chord at what point does it intersect the chord?
The radius of the circle that is perpendicular to a chord intersects the chord at its midpoint, so it is said to bisect the chord.
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.
If a line is tangent to a circle then it is what to the radius drawn at the point of tangency?
Perpendicular
Does a tangent to a circle intersect the circle in 2 points?
No, only at one point, perpendicular to the radius
A line touching an arc or circle at only one point perpendicular to the arcs?
tangent
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.
Which term describe the distance from the center of a circle to any point on the circle?
The distance from the center of a circle to any point on the circle is called the radius of the circle. The radius is a line segment that starts at the center of the circle and ends at any point on the circle. It is always a straight line and is always perpendicular to the circumference of the circle. The radius is half the diameter of the circle, which is the distance across the circle through the center. The diameter of a circle is always twice the length of the radius. My recommendation ʜᴛᴛᴘꜱ://ᴡᴡᴡ.ᴅɪɢɪꜱᴛᴏʀᴇ24.ᴄᴏᴍ/ʀᴇᴅɪʀ/372576/ꜱᴀɪᴋɪʀᴀɴ21ᴍ/
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.
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
