Table of Contents
About the Segment of Circle
The segment of the circle is the portion of the circle that is between two points on the circle. The segment is measured by the length of the line segment that connects the two points on the circle.
What do You Mean by the Segment of a Circle
A segment of a circle is a slice of the circle that is bounded by two points on the circle.
Forms of Segments in a Circle
There are three types of segments in a circle: chords, secants, and tangents.
A chord is a segment that connects two points on a circle.
A secant is a segment that intersects a circle at two points.
A tangent is a segment that touches a circle at one point.
The Formula of Area of Segment of a Circle:
The area of a segment of a circle is the area of the circle minus the area of the two triangles that are created by the segment. The two triangles are similar, so the area of each triangle can be found using the Pythagorean theorem.
Theorems on Segment of a Circle
Theorem 1:
The length of a segment of a circle is proportional to the radius of the circle.
Proof:
Let ABC be a segment of a circle with radius r. We will show that the length of ABC is proportional to r.
We will use the following equation to prove our theorem:
AB = r√(AC² + BC²)
Since AB is proportional to r, we can rewrite the equation as:
AB = kr
Where k is a constant.
Now, let’s substitute in for AC and BC:
AC = r√(A² + B²)
BC = r√(C² + D²)
Since AC and BC are proportional to r, we can rewrite the equations as:
A² = kr²
B² = kr²
C² = kr²
D² = kr²
Since the left-hand side of each equation is equal, we can conclude that k = 1. Therefore, AB is proportional to r.
Questions to Solve:
1. What is the value of x?
The value of x is 2.
Angle = 30 °
Distance = 9.5
The angle between the two lines is 30 degrees. The distance between the two lines is 9.5.
Terms and Facts, You need to know!
1. Biodiversity refers to the variety of life on Earth, including the different plants, animals, and microorganisms that make up the planet’s ecosystems.
2. Biodiversity is essential to the health of the planet.
3. The loss of biodiversity can have serious consequences for human populations and the environment.
4. Habitat loss and degradation are the primary threats to biodiversity.
5. Habitat loss can be caused by many different factors, including deforestation, development, and climate change.
6. Species extinction is also a major threat to biodiversity.
7. Many different organizations and groups are working to protect biodiversity.
8. There are many ways to help protect biodiversity, including conserving natural habitats, reducing your carbon footprint, and supporting organizations that work to protect the environment.
