How is a tangent line related to the radius of a circle at the point of tangency

A tangent line and a radius of a circle at a point of tangency are perpendicular to each other.

A tangent is a line that intersects a circle externally at a point, and the point is referred to as point of tangency. While the radius of a given circle can be determined by dividing its diameter into two parts.

At the point of tangency, the radius of a circle would be perpendicular to the tangent of the circle. Thus, there is a right angle between the two.

This implies that the radius of a circle and a tangent to the circle coincides at the tangency at a right angle to each other.

Therefore the relationship between a tangent line and radius at the point of tangency is that they are perpendicular.

A simple sketch is attached to this answer for more clarifications.

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When a radius of a circle is drawn to a point of tangency (from the center, of the circle, of course), that radius is perpendicular to the tangent line

Step-by-step explanation:

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answer: given that the roller coaster can accommodate 1600 riders per hour, thus the roller coaster can accomodate 1600 / 60 = 26.67 riders per minute.

given that there are 345 people in the line, the number of minutes it will take for the 345 persons to get into the roller coaster is given by 345 / 26.67 = 12.94 minutes.

therefore, it will take you 12.94 minutes to get to the front of the line.

step-by-step explanation:

40 minutes

step-by-step explanation:

add the time and multiply by 2