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Introduction to Chemical Engineering Thermodynamics7th EditionHendrick Van Ness, J.M. Smith, Michael Abbott 582 solutions Here we will learn about the different parts of a circle including how to identify the key parts of a circle from a diagram, how to identify the key parts of a circle from a definition and how to draw a circle with the different parts labelled e.g. the diameter of a circle. There are also parts of a circle worksheets based on Edexcel, AQA and OCR exam questions, along with further guidance on where to go next if you’re still stuck. What are the parts of a circle?The parts of a circle are the radius, diameter, circumference, arc, chord, secant, tangent, sector and segment. Circle terms Naming circle parts: Circle A round plane figure whose boundary consists of points equidistant from a fixed point. Centre The centre of the circle is the fixed point from which all points on the boundary of the circle are equidistant. Often noted on diagrams as ‘O’. Centre/center are the same. Centre is the UK spelling whilst Center is the US spelling. Radius The distance from the centre of a circle to the outside. The radius of the circle is half the diameter of the circle. The plural of radius is radii. Diameter The distance across the circle going through the centre. The diameter is twice the radius. Circumference The distance once around the circle. Arc A part of the circumference. Major arc – A major arc is greater than half the circumference. Minor arc – A minor arc is less than half the circumference. Area The space inside a 2D shape. Chord A line segment going from one point of the circumference to another but does not go through the centre. Secant A line that goes through the circle at two points. Note: Secant is not a term you are required to know at GCSE, however it is important to note the difference between a chord and a secant. Tangent A straight line that touches the circle at a single point only. Sector A section of the circle created by two radii. Major sector – A major sector has a central angle which is more than 180^o . Minor sector – A minor sector has a central angle which is less than 180^o . Semi circle Half of a circle. Could be considered a sector where the circle has be split by the diameter. Quadrant A quarter of a circle, created by two perpendicular radii. Segment A section of the circle created by a chord. Major segment – a segment where the arc is greater than half the circumference. Minor segment – a segment where the arc is less than half the circumference. What are the parts of a circle?Other keys terms: Equidistance A point is equidistant from 2 other points when it is always the same distance away from those points. Angles around a point Angles around a point are equal to 360^o . How to identify parts of a circleIn order to identify/label parts of a circle: 1 Identify the key aspects of the part of the circle.
2 Clearly state your answer, consider whether the part of a circle you have identified has a specific name e.g. semicircle, major segment. Explain how to identify parts of a circleParts of a circle worksheetGet your free parts of a circle worksheet of 20+ questions and answers. Includes reasoning and applied questions. DOWNLOAD FREE Parts of a circle worksheetGet your free parts of a circle worksheet of 20+ questions and answers. Includes reasoning and applied questions. DOWNLOAD FREE Parts of a circle examplesExample 1: identifying a part of a circle from a diagramName the part of the circle shown in red in the below diagram.
2Clearly state your answer, consider whether the part of a circle you have identified has a specific name e.g. major segment. Radius Example 2: identifying a part of a circle from a diagramName the part of the circle shown in red in the below diagram. Identify the key aspects of the part of the circle. Here are some key questions you can ask yourself?
Clearly state your answer, consider whether the part of a circle you have identified has a specific name e.g. major segment. Sector – specifically the minor sector. Example 3: identifying a part of a circle from a diagramIdentify the key aspects of the part of the circle. Here are some key questions you can ask yourself?
Clearly state your answer, consider whether the part of a circle you have identified has a specific name e.g. major segment. Chord Example 4: identifying a part of a circle from a diagramName the part of the circle shown in red in the below diagram. Identify the key aspects of the part of the circle. Here are some key questions you can ask yourself?
Clearly state your answer, consider whether the part of a circle you have identified has a specific name e.g. major segment. Segment – specifically the minor segment. Example 5: identifying a part of a circle from a diagramIdentify the key aspects of the part of the circle. Here are some key questions you can ask yourself?
Clearly state your answer, consider whether the part of a circle you have identified has a specific name e.g. major segment. Tangent Example 6: labelling a part of a circle on a diagramOn the circle below: Draw a diameter. Draw a tangent. Label the circumference. Identify the key aspects of the part of the circle. Here you are being asked to draw the parts on a the given circle so you needs to consider each key term.
Clearly state your answer by labeling the diagram given. Common misconceptions
The radius is from the centre of the circle to the circumference whilst the diameter goes across the whole circle whilst going through the origin.
A segment is made from a chord whilst a sector will have lines (radii) coming from the origin. HINT: Some students like to consider a sector like a slice of pizza.
A chord will not go through the origin of the circle whilst the diameter will.
A tangent only touches the circumference at a single point, it does not cross the line. A secant will cross the circumference twice. Practice parts of a circle questionsMiddle of the circle (origin) The ‘o’ refers to the centre of the circle which is called the origin of the circle The circumference is the distance around the edge of the circle, this will always be longer The radius is twice the length of the diameter The diameter is twice the length of the radius
The radius is half the length of the circumference The diameter is half the length of the circumference The distance from the centre of the circle to the circumference is called the radius. The distance across the circle passing through the centre is called diameter. This means that the diameter is twice as long as the radius. Part of a circle’s circumference A line that goes through a circle A sector consists of the area created by an arc and two radii Parts of a circle GCSE questions1. Name the part of the circle shown in the diagram below: (1 mark) Show answer 2. Name the part of the circle shown in the diagram below: (1 mark) Show answer 3. Name the part of the circle shown in the diagram below: (1 mark) Show answer 4. Name the part of the circle shown in the diagram below: (1 mark) Show answer 5. Name the part of the circle shown in the diagram below: (1 mark) Show answer 6. Name the part of the circle shown in the diagram below: ‘A line that goes across the circle but does not go through the origin’ (1 mark) Show answer 7. Molly says ‘A chord is the same as a radius but shorter’. Is Molly correct? Explain your answer (1 mark) Show answer No, the radius goes from the origin to the circumference. A chord does not touch the origin of the circle (1) Learning checklistYou have now learned how to:
Still stuck?Prepare your KS4 students for maths GCSEs success with Third Space Learning. Weekly online one to one GCSE maths revision lessons delivered by expert maths tutors. Find out more about our GCSE maths revision programme. Which is an example of a chemical change?Examples of chemical changes include baking soda and vinegar creating carbon dioxide, iron rusting, and wood burning.
Which is an example of a chemical change quizlet?Some examples of chemical change is burning, rusting of iron, souring of milk and decaying of food.
Which is evidence that a chemical reaction has likely occurred?Some signs of a chemical change are a change in color and the formation of bubbles. The five conditions of chemical change: color change, formation of a precipitate, formation of a gas, odor change, temperature change.
Which best describes what happens to the atoms in a chemical reaction?In a chemical reaction, bonds between atoms in the reactants are broken and the atoms rearrange and form new bonds to make the products.
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What can be added to the examples section of each circle?
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