Angle of a sector

The area of sector of a circle is the space enclosed within the boundary of the sector. A sector always originates from the center of the circle. Let us learn more about the area of sector formulaand how to find the area of a sector in radians and degrees, angle of a sector.

If you're seeing this message, it means we're having trouble loading external resources on our website. To log in and use all the features of Khan Academy, please enable JavaScript in your browser. Search for courses, skills, and videos. About About this video Transcript. A worked example of finding the area of a circle's sector using the area of the circle and the central angle of the sector. Created by Sal Khan.

Angle of a sector

A sector of a circle is a pie-shaped part of a circle made of the arc along with its two radii. A portion of the circumference also known as an arc of the circle and 2 radii of the circle meet at both endpoints of the arc formed a sector. The shape of a sector of a circle looks like a pizza slice or a pie. In geometry, a circle is one of the most perfect figures. The shape of a sector of a circle is the simplest shape in geometry. It has various parts of its own. Such as diameter, radius, circumference, segment, sector. In this article, we will learn about what is a sector of a circle, formulas related to the sector of a circle along with solving a few examples on the sector of a circle. A sector is a portion of a circle that can be defined based on the four points mentioned below:. The 2 radii meet at the part of the circumference of a circle known as an arc, formed a sector of a circle. The semi-circle is also a sector with an angle of degrees. The area of a sector of a circle is the amount of space occupied within the boundary of a sector of a circle. A sector always initiates from the center of the circle. The semi-circle is also a sector of a circle, in this case, a circle is having two sectors of equal size.

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In the circle above, the length of arc BC is degrees, and the segment AC is a diameter. What is the measure of angle ADB in degrees? Since we know that segment AC is a diameter, this means that the length of the arc ABC must be degrees. This means that the length of the arc AB must be 80 degrees. Since angle ADB is an inscribed angle, its measure is equal to half of the measure of the angle of the arc that it intercepts.

A sector of a circle is a portion or part of a circle that is composed of an arc and its two radii. You can compare the sector of a circle to the shape of a pizza slice. A sector is formed when two radii of the circle meet at both ends of the arc. An arc is simply a portion of the circumference of the circle. The definition of the sector of a circle in geometry can be given as the part of the circle enclosed by two radii and an arc of the circle. A sector of a circle is called the minor sector if the minor arc of the circle is a part of its boundary. It is the sector with a smaller area. The angle of a minor sector is less than degrees. A sector is called the major sector if the major arc of the circle is a part of its boundary. It is the sector with the greater area.

Angle of a sector

In the circle above, the length of arc BC is degrees, and the segment AC is a diameter. What is the measure of angle ADB in degrees? Since we know that segment AC is a diameter, this means that the length of the arc ABC must be degrees. This means that the length of the arc AB must be 80 degrees. Since angle ADB is an inscribed angle, its measure is equal to half of the measure of the angle of the arc that it intercepts.

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Show answer. Heights And Distances Problems. Nidhi Certified Tutor. Example 3: A circle with a diameter of 2 units is divided into 10 equal sectors. A sector is called the major sector if the major arc of the circle is a part of its boundary. There are two types of a sector, which can be categorized as a minor or a major part. From the arc length, the central angle can be calculated. Since we know that segment AC is a diameter, this means that the length of the arc ABC must be degrees. Kindergarten Worksheets. Multiplication Tables. For example, a pizza slice is an example of a sector that represents a fraction of a pizza. Multiplication Tables. Since angle ADB is an inscribed angle, its measure is equal to half of the measure of the angle of the arc that it intercepts.

A sector of a circle is a pie-shaped part of a circle made of the arc along with its two radii. A portion of the circumference also known as an arc of the circle and 2 radii of the circle meet at both endpoints of the arc formed a sector. The shape of a sector of a circle looks like a pizza slice or a pie.

Out of these, the cookies that are categorized as necessary are stored on your browser as they are essential for the working of basic functionalities of the website. Calculate the answer. To illustrate, if the arc length is 5. Let's learn about how to calculate the area of a sector. How can we find the area of a sector of a circle when the central angle is not given? How To: Degree to Radian Conversion. Download Now. Now, to compute the angle, note that you have a percentage of the total circumference, based upon your arc length:. But there are other parts of circles — sectors and angles, for instance — that also have importance in everyday applications as well. Other lessons in this series include: Circles, sectors and arcs Area of a sector Perimeter of a sector Arc of a circle Parts of a circle.