The formula for the perimeter of segement is 2r sin (θ/2) + rθ.A circle is an important shape in the field of geometry. The perimeter of a segment of circle can be calculated by adding the length of the chord of circle and the length of the corresponding arc of the circle. How to Find the Perimeter of Segment of Circle? i.e., the angles on the circumference of the circle made by the same arc are equal. Yes, the angles formed by the same segment of a circle are equal. Are the Angles in the Same Segment of a Circle Equal? Thus, a semicircle is bounded by a chord and an arc and hence is a segment of the circle. Also, we know that the semicircle's circumference is an arc of the circle. We know that a diameter of a circle is also a chord of the circle (in fact, it is the longest chord of the circle). The alternate segment theorem states that the angle formed by the tangent and the chord at the point of contact is equal to the angle formed in the alternate segment on the circumference of the circle through the endpoints of the chord. What Is the Alternate Segment Theorem of a Circle? The area of a major segment of a circle is found by subtracting the area of the corresponding minor segment from the total area of the circle. How To Find the Area of a Major Segment of a Circle? Subtract the area of the triangle from the area of the sector to find the area of the segment.Find the area of the sector using the formula.Find the area of the triangle using the formula (1/2) r 2 sin θ.Identify the central angle made by the arc of the segment and label it 'θ'.Identify the radius of the circle and label it 'r'.Here are the steps to find the area of a segment of a circle. How To Find the Area of a Segment of a Circle? Here, 'r' is the radius of the circle and 'θ' is the angle subtended by the arc of the segment. The area of the segment of the circle (or) minor segment of a circle is: What Is the Formula for Area of the Segment of a Circle? What Is the Difference Between a Sector of a Circle and a Segment of a Circle?Ī sector of a circle is the region enclosed by two radii and the corresponding arc, while a segment of a circle is the region enclosed by a chord and the corresponding arc. What Is the Difference Between Arc and Segment of a Circle?Īn arc is a portion of a circle's circumference whereas a segment of a circle is a region bounded by an arc and a chord of the circle. What Is the Difference Between Chord and Segment of a Circle?Ī chord of a circle is a line segment that joins any two points on its circumference whereas a segment is a region bounded by a chord and an arc of the circle. There are two types of segments, one is a minor segment (made by a minor arc) and the other is a major segment (made by a major arc). 1.įAQs on Segment of a Circle What Is a Segment of a Circle?Ī segment of a circle is the region that is bounded by an arc and a chord of the circle. We will learn to find the area and perimeter of the segment of a circle and describe the theorems based on the segment along with some solved examples for a better understanding of the concept. In this article, we will discuss the concept of segment of circle, and understand its definition and properties. The segment of circle is the part that is formed by a chord of the circle (intersecting line) and an arc of the circle (part of the boundary). But a segment is not any random part of a circle, instead, it is a specific part of a circle that is cut by a chord of it. In the same way, a segment is a part of the circle. When something is divided into parts, each part is referred to as a segment. A segment of a circle is the region that is bounded by an arc and a chord of the circle.
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