Real-Life Examples of Secant of a Circle

1. Car Turning at a Roundabout: Imagine a car moving along the circular path of a roundabout. The path the car takes can be compared to a secant of the circular roundabout as it intersects the circle at two points.

2. Flashlight Illuminating a Globe: Picture a flashlight shining on a globe. The beam of light that touches the globe at two opposite points represents a secant as it intersects the spherical surface.

3. Telephone Cable on a Utility Pole: Consider a telephone cable running from the top of a utility pole to the ground. The cable forms a secant of the circular cross-section of the pole, intersecting it at two points.

4. Airplane Flight Path: When an airplane takes off or lands, its flight path may resemble a secant as it intersects the circular shape of the Earth’s surface at the departure and arrival points.

5. Ferris Wheel Movement: Think about a Ferris wheel in an amusement park. The support structure of the wheel forms a secant as it intersects the circular shape of the wheel, providing stability and support.

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Secant of a Circle

Secant of a circle is a fundamental concept in geometry that can be described as a straight line intersecting the circle at two distinct points. In this article, we will understand the definition, properties, theorems, and real-world examples surrounding the concept of secants.

In this article, we will learn about the meaning of secant, the formula to calculate the secant of a circle, properties, Intersecting secants, tangent of a circle, theorem of the secant of a circle, the difference between secant, tangent, and chord, and real-life examples of Secant of a Circle.

Table of Content

  • What is a Secant of a Circle?
  • Formula of Secant of a Circle
  • Properties of Secant of a Circle
  • Tangent and Secant of a Circle
  • Secant of a Circle Theorem
  • Examples of Secant of a Circle

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What is a Secant of a Circle?

A secant of a circle is a straight line that intersects the circle at two distinct points. When this line crosses a circle, it enters the interior of the circle, creating two points of intersection on the circle itself. Essentially, a secant line connects two points on the circle’s circumference by passing through its interior. It’s important to note that a straight line can intersect any given circle at a maximum of two different points, and when it does, it is referred to as a secant line to that circle....

Formula of Secant of a Circle

The formula for the length of a secant line (s) in a circle with radius (r) and the central angle (θ) is given by:...

Properties of Secant of a Circle

A secant of a circle is a straight line that crosses the circle at two points, it has a few features given below:...

Intersecting Secants

When two secant lines cross or intersect inside a circle, they are referred to as intersecting secants. In simple terms, intersecting secants are two straight lines that both cut through the circle and meet or cross each other within the circle’s boundaries. This interaction creates points of intersection and various geometric relationships within the circle, including the formation of chords, central angles, and the division of the circle into segments....

Tangent and Secant of a Circle

A tangent is a line that connects with the circle at just one point, while a secant is a line that intersects the circle at two points. It is a specific type of secant which occurs when the two endpoints of the secant’s chord come together at a single point....

Secant of a Circle Theorem

Various theorem related to Secant of a Circle Theorem are added below,...

Difference Between Chord and Secant

Though in a Circle Chord and a Secant look like a straight like, but they are different from each other....

Real-Life Examples of Secant of a Circle

1. Car Turning at a Roundabout: Imagine a car moving along the circular path of a roundabout. The path the car takes can be compared to a secant of the circular roundabout as it intersects the circle at two points....

Examples of Secant of a Circle

Example 1: Consider a circle with a radius of 5 units. Draw a secant line from a point outside the circle, intersecting the circle at points A and B. If the external part of the secant measures 8 units, find the length of the secant segment within the circle....

Practice Questions of Secant of a Circle

Q1. In a circle with a radius of 7 units, a secant line is drawn from a point outside the circle. If the external part of the secant measures 10 units, find the length of the secant segment within the circle....

Secant of a Circle-FAQs

1. What is the Secant of a Circle?...