Angle of a sector

A circle has always been an important shape among all geometrical figures.

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. Want to join the conversation?

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. This means that the measure of the angle is half of 80 degrees, or 40 degrees. What is the angle of a sector of area on a circle having a radius of? Now, to find the angle measure of a sector, you find what portion of the circle the sector is. Here, it is:. Now, multiply this by the total degrees in a circle:.

All the information is there: You just have to manipulate it to get your answer. If the cake had a radius of 15 cm, find the area of each slice, angle of a sector. A part of a curve or a part of a circumference of a circle is called the arc.

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.

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. This means that the measure of the angle is half of 80 degrees, or 40 degrees. What is the angle of a sector of area on a circle having a radius of? Now, to find the angle measure of a sector, you find what portion of the circle the sector is.

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.

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If you've found an issue with this question, please let us know. Please read our Cookies Policy for information on how we use cookies and how to manage or change your cookie settings. Perimeter of a sector The perimeter of a sector is the distance around a sector. Arc represents the part of the circumference. The space enclosed by the sector of a circle is called the area of the sector of a circle. Practice Questions on Sector of a Circle. Now, multiply this by the total degrees in a circle:. Maths Questions. Explanation : Since we know that segment AC is a diameter, this means that the length of the arc ABC must be degrees. So we just need to realize that the ratio between the area of the sector and the total area of the circle. Remember to find the fraction of the circle that makes the sector not just the area of the whole circle. We can use a similar strategy to find the measure of arc CD, which is the arc intercepted by the inscribed angle FBD. Let the length of the arc be l.

A pie has a diameter of 12". A piece is cut out, having a surface area of 4.

Identify Circles and Rectangles Game. Explanation : The measure of angle CEF is going to be equal to half of the difference between the measures two arcs that it intercepts, namely arcs AD and CD. Sneha Kumar. The figure is not necessarily drawn to scale, and the red numbers are used to mark the angles, not represent angle measures. Consider a sector area of Area of Sector The area of sector of a circle is the space enclosed within the boundary of the sector. This category only includes cookies that ensures basic functionalities and security features of the website. Rounded to the nearest hundredth, this is. This may be what you meant. Give your answer to three significant figures.