The central angle of the sector representing one third region in a pie chart is

Q. Tick (✓) the correct answer: If in the pie chart representing the number of students opting for different streams of study out of a total strength of 1650 students, the central angle of the sector representing arts students is 48° then what is the number of students who opted for arts stream? (a) 220 (b) 240 (c) 275 (d) 320 Q. If in the pie chart representing the number of students opting for different streams of study out of a total strength of 1650 students, the central angle of the sector representing Arts students is 48 ∘ then what is the number of students who opted for arts stream ? (a) 220 (b) 240 (c) 275 (d) 320

Video Transcript The results of a survey on the favourite hobbies of students are shown in the pie chart. What is the measure of the angle of the sector representing swimming? Well, looking at the pie chart, it says that 17 percent of students said that their favourite hobby was swimming. And there are 360 degrees going all the way round at the centre of this circle. So 17 percent of that 360 tells us the size or the measure of this angle for that piece of the pie chart. So the calculation we’re doing then to find the measure of the angle for swimming is what is 17 percent of 360. Now, to calculate 17 percent of something, we do 17 over 100 times that thing. Now, when you put that into your calculator, you get an answer of exactly 61.2 degrees. So what we need to do is write down our answer and make it nice and clear on the page.

Pie charts use different-sized sectors of a circle to represent data. In a pie chart it is important to understand that the angle of each sector represents the fraction, out of \(\) students travel by car, how many people took part in the survey? Reveal answer down a) The most common method of travel is bus as this has the largest sector on the pie chart. b) \(\frac\) packets of sausages last month. The pie chart below shows the different varieties: a) How many packets of vegetarian sausages were sold? b) How many packets of beef sausages were sold? Reveal answer down a) Vegetarian sausages account for \(\frac\) packets of beef sausages were sold.

What is a Pie Chart? A pie chart is a circular chart divided into wedge-like sectors, illustrating proportion. Each wedge represents a proportionate part of the whole, and the total value of the pie is always 100 percent. Pie charts can make the size of portions easy to understand at a glance. They're widely used in business presentations and education to show the proportions among a large variety of categories including expenses, segments of a population, or answers to a survey. Back to top Pie Chart vs Bar Chart Some critics of pie charts point out that the portions are hard to compare across other pie charts and if a pie chart has too many wedges, even wedges in a single pie chart are hard to visually contrast against each other compared to the height of bars in a Bar charts are easier to read when you're comparing categories or looking at change over time. The only thing bar charts lack is the whole-part relationship that makes pie charts unique. Pie charts imply that if one wedge gets bigger, the other has to be smaller. This would not be true of two bars on a bar chart. Back to top Tips for Creating Better Pie Graphs Don't use more than 5 slices in any pie chart otherwise it becomes too hard to read. Don't use a pie chart if the values of the wedges are close to each other and it's important to see the differences. For example, 32%, 33% and 35% will look pretty even at a glance when illustrated on a pie chart. Using a bar chart will make the differences more obvious....

Central Angle Central Angle is the angle formed by two arms and having the vertex atthe center of a circle. The two arms form two radii of the circle intersecting the arc of the circle at different points. Central angle is helpfulto divide acircle intosectors. Aslice of pizza is a good example of central angle.A pie chart is made up of a number of sectors and helps to represent different quantities. A protractor is a simple example of a sector with a central angle of180º. Central angle can also be defined as the angle formed by an arc of the circle at the center of the circle. Let us learn more about the central angle theorem, and how to find central angle, with the help of examples, FAQs. 1. 2. 3. 4. 5. 6. Definition of Central Angle Centralangle is the angle subtended by an arc of a circle at the center of a Here Ois the center of the circle, AB is the arc and, OA is a Central Angle= \(\frac\) Here "s"is the length of the arc and "r"is the radius of the circle. This is the formula for finding central angle in degrees. For finding the central angle in radians, we have to divide the arc length by the length of the radius of the circle. Central Angle Theorem Theorem: The angle subtended by an arc at the center of the circle is double theangle subtended by it at any other point on the circumference of the circle. OR The central angle theorem states that thecentral angle of a circle is double the measure of the angle subtended by the arc in the other segment of the circle. ∠A...

\( \newcommand\) • • • In this section we turn our attention to pie charts, but before we do, we need to establish some fundamentals regarding measurement of angles. If you take a circle and divide it into 360 equal increments, then each increment is called one degree (1 ◦). See Figure 7.2. Figure 7.2: There are 360 degrees (360 ◦) in a circle. A ray is a line that starts at a point and then extends indefinitely in one direction. The starting point of the ray is called its vertex. Figure 7.3: A ray with vertex V extends indefinitely in one direction. If two rays have a common vertex, they form what is called an angle. In Figure 7.4 we’ve labeled the first ray as the “Initial Side” of the angle, and the second as the “Terminal Side” of the angle. Figure 7.4: Two rays with a common vertex V form an angle. We can find the degree measure of the angle by using a device called a protractor. Align the notch in the center of the base of the protractor with the vertex of the angle, then align the base of the protractor with the initial side of the angle. The terminal side of the angle will intersect the protractor edge where we can read the degree measure of the angle (see Figure 7.5). In Figure 7.5, note that the terminal side of the angle passes through the tick mark at the number 30, indicating that the degree measure of this angle is 30 ◦. Figure 7.5: The degree measure is 30 ◦. Example 1 In a recent Gallup poll, 66% of those polled approved of the President’s job performance, ...