Asked by: Hassiba Baranowski
science physics

How do you find the angle of a sector in a pie chart?

43
1 Answer
  1. In any sector, there are 3 parts to be considered:
  2. The arc length is a fraction of the circumference.Thesector area is a fraction of the whole area. Thesectorangle is a fraction of 360°
  3. If the sector is 20% of the pie chart, theneachof these parts is 20% of the whole.
  4. 20%×360°
  5. 20100×360=72°


In this manner, how do you find the degree of a sector of a circle?

Explanation: If the central angle measures60degrees, divide the 360 total degrees inthecircle by 60. Multiply this by the measure ofthecorresponding arc to find the total circumference ofthecircle. Use the circumference to find theradius,then use the radius to find the area.

what is a central angle in a pie chart? In a pie chart, the various observationsorcomponents are represented by the sectors of a circle and thewholecircle represents the sum of the values of all components.Thecentral angle for a component is given by:Centralangle for a component = Value of the componentSum ofthe valuesof all components × 360°

Just so, how do you find the degree of a percentage?

A circle has 360 degrees, so if you wanttoexpress an angle in terms of a percentage, just dividetheangle measurement (in degrees) by 360 and multiply by100.In reverse, divide the percentage by 100 and multiplyby360.

What is the formula to find the central angle?

Formula for S=rθ The picture below illustrates the relationshipbetweenthe radius, and the central angle in radians.Theformula is S=rθ where s represents the arclength,S=rθ represents the central angle in radiansand r isthe length of the radius.

Related Question Answers

Alexandros Bazanov

Professional

How do you find the arc length of a sector?

To find arc length, start by dividingthearc's central angle in degrees by 360. Then, multiplythatnumber by the radius of the circle. Finally, multiply thatnumberby 2 × pi to find the arc length.

Philipe Gerones

Professional

What is the area of a sector?

Area of Sector
The area of a sector of a circle is½r² ∅, where r is the radius and ∅ theangle inradians subtended by the arc at the centre ofthecircle.

Victoire Marrubi

Professional

How do you find the angle of a sector?

(πr2) × (central angleindegrees ÷ 360 degrees) = sector area. If thecentralangle is measured in radians, the formulainsteadbecomes: sector area = r2 ×(centralangle in radians ÷ 2). Rearranging theformulas willhelp to solve for the value of the centralangle, ortheta.

Marylyn Wattez

Explainer

What is a sector angle?

A circular sector or circle sector(symbol:?), is the portion of a disk enclosed by two radii and anarc, wherethe smaller area is known as the minor sector andthe largerbeing the major sector. In the diagram, θis thecentral angle in radians, the radius of the circle,and isthe arc length of the minor sector.

Saraniu Reif

Explainer

What is the formula for circumference?

Write down the formula for findingthecircumference of a circle using the diameter.Theformula is simply this: C = πd. In thisequation,"C" represents the circumference of thecircle, and "d"represents its diameter. That is to say, you canfind thecircumference of a circle just by multiplying thediameterby pi.

Walda Armorna

Explainer

What is a sector of a circle definition?

Definition: The part of a circleenclosedby two radii of a circle and their intercepted arc.Apie-shaped part of a circle. The sector ofthecircle is shown in yellow.

Samreen Iturrao

Pundit

What is an arc of a circle?

Arc Of A Circle. The arc of a circle isaportion of the circumference of a circle. Measureanarc by two methods: 1) the measure of the central angleor2) the length of the arc itself.

Neta Cuijper

Pundit

How do you find a missing angle?

To determine to measure of the unknown angle,besure to use the total sum of 180°. If two anglesaregiven, add them together and then subtract from 180°. Iftwoangles are the same and unknown, subtract theknownangle from 180° and then divide by 2.

Dailos Mirica

Pundit

How many degrees are in a circle?

360 degrees

Aproniano Mar

Pundit

How do I convert a number into a percentage?

To convert a number into percentmultipleit by 100 and then add the percent sign. Theseexamplesconvert the numbers 23 and 158 to percents.Toconvert a number with a decimal intopercent,multiply it by 100 and add the percentsign.

Meifeng Reichner

Pundit

What percent grade is a 45 degree angle?

So a slope of 1/1 would be a 100% grade, whichisindeed a 45 degree angle.

Txaber Barbera

Teacher

How do u find the mean?

The mean is the average of the numbers. It iseasyto calculate: add up all the numbers, then divide by howmanynumbers there are. In other words it is the sum divided bythecount.

Guim Bayes

Teacher

How do you figure a ratio?

To find an equal ratio, you caneithermultiply or divide each term in the ratio by the samenumber(but not zero). For example, if we divide both terms intheratio 3:6 by the number three, then we get theequalratio, 1:2. Do you see that these ratiosbothrepresent the same comparison?

Irantzu Embi

Teacher

How do you find the degree of an angle without a protractor?

To measure an acute angle without aprotractor,start by drawing a vertical line connecting the 2rays of theangle to form a right triangle. Note that theangleformed by the adjacent side of the triangle and theopposite sidemeasures 90 degrees. Next, measure thelength of theadjacent side to find the run.

Sobeida Corazon

Teacher

How do you make a circle graph?

To find out the number of degrees for each arc orsectionin the graph we multiply the percentage by 360°.When wewant to draw a circle graph by ourselves we need torewritethe percentages for each category into degrees of acircleand then use a protractor to makethegraph.

Ticiano Banha

Reviewer

How do you convert degrees to radians on a calculator?

To convert degrees to radians, follow thesesteps:
  1. Put the calculator in Radian mode.
  2. If necessary, press [2nd][MODE] to access the Home screen.
  3. Enter the number of degrees.
  4. Press [2nd][APPS][1] to paste in the degree function.
  5. Press [ENTER] to convert the degree measure to radians.

Areli Steinecke

Reviewer

How do you find the value of a pie chart?

Reading Pie Charts
To calculate the percentage each slice isworth,measure the angle of each slice and divide this by 360thenmultiply it by 100. To find the number of pieces of data eachslicerepresents, multiply the percentage that each slice is worthby thetotal number of the data sets.

Nolan Djindo

Reviewer

How do you find the measure of an angle on a circle graph?

Here's how the circle graph looks like: Thearclength of each sector is equal to the quantity itrepresents.multiply the fraction representing a part of thecircle by360°, then you get the angle measure ofthat part. Youneed to find the angle measure of thepart labeled"dances".

Sabrina Gorgas

Reviewer

What is the central angle of a circle?

A central angle is an angle withendpointsand located on a circle's circumference and vertexlocatedat the circle's center (Rhoad et al. 1984, p. 420).Acentral angle in a circle determines an arc . Foraninscribed angle and central angle with thesameendpoints, (Jurgensen et al. 1963, p. 328).

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EveryThingWhat Staff Editor

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3rd March, 2020

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