{"id":10918,"date":"2026-11-02T02:04:39","date_gmt":"2026-11-02T02:04:39","guid":{"rendered":"https:\/\/kapdec.com\/help\/?p=10918"},"modified":"2026-11-02T02:04:39","modified_gmt":"2026-11-02T02:04:39","slug":"construction-of-circles-angles","status":"publish","type":"post","link":"https:\/\/kapdec.com\/help\/construction-of-circles-angles\/","title":{"rendered":"Construction Of Circles & Angles"},"content":{"rendered":"
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KAPDEC® | Elite STEM Learning Platform | https:\/\/kapdec.com<\/a><\/p>\n

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Unit<\/strong>: Geometry<\/h2>\n

Chapter<\/strong>: Construction of Circles & Angles<\/h3>\n

Reference<\/strong>: \u2013 Introduction to Constructions, Tools of Construction (Ruler, Compass, Protractor), Construction of a Circle with a Given Radius, Construction of Concentric Circles, Construction of an Angle Equal to a Given Angle, Construction of Angle Bisector, Construction of Standard Angles (60\u00b0, 30\u00b0, 90\u00b0, 120\u00b0, 45\u00b0), Tips for Accurate Construction<\/em><\/p>\n

After studying this chapter, you should be able to understand:<\/p>\n

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  • Introduction to Geometrical Constructions & Tools<\/li>\n
  • Construction of a Circle with a Given Radius<\/li>\n
  • Construction of Concentric Circles<\/li>\n
  • Construction of an Angle Equal to a Given Angle<\/li>\n
  • Construction of Angle Bisector<\/li>\n
  • Construction of Standard Angles (60\u00b0, 30\u00b0, 90\u00b0, 120\u00b0, 45\u00b0)<\/li>\n
  • Tips for Accurate Construction<\/li>\n<\/ul>\n

    Practical Geometry, Construction of Circle<\/strong><\/p>\n

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    Introduction<\/strong><\/p>\n

    In this chapter, we will learn how to make different shapes. We need to use certain tools to make these shapes.<\/p>\n

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    Tools:<\/strong><\/p>\n

    Ruler:<\/strong> It is used to measure and draw the line segments.<\/p>\n

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    Compass:<\/strong> It is used to draw circles and arcs. The tool is not used to measure equal length. Instead it is used to mark off them.<\/p>\n

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    It has pencil at one end and pointer at the other..<\/p>\n

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    Divider:<\/strong> The tool is used to compare line segments or lengths. It has a pointer at both it’s ends.<\/p>\n

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    Set Squares: <\/strong>This tool is used to draw parallel lines and perpendiculars. These are two triangular pieces. One with 90-45-45 degree angles and the other with 30-60-90 degree angles.<\/p>\n

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    The Protractor: <\/strong>This tool is used to measure and draw angles. It is a semicircular tool which is divided into two parts. It has two markings. One starts with 0\u00b0 on the right side and 180\u00b0 on the left side and vice versa.<\/p>\n

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    In this chapter we are going to use compasses and rulers to do the constructions.<\/p>\n

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    Some tips: <\/strong><\/p>\n

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    • Draw or construct thin lines.<\/li>\n
    • Mark points of lines lightly.<\/li>\n
    • Instruments should have fine edges and sharp tip.<\/li>\n
    • Keep two pencils. One will be inserted in compass. Other will be used to mark points, draw lines or curves.<\/li>\n<\/ul>\n

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      Construct a circle<\/strong><\/p>\n

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      See the following figures:<\/p>\n

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      In each of the figure, every point on the boundary is at equal distance from the centre. This is called a circle.<\/p>\n

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      Construct a circle when radius of circle is known<\/strong><\/p>\n

      Let\u2019s draw a circle of radius 4 cm<\/p>\n

      Following are the steps:<\/p>\n

      Step 1<\/strong>: Take a compass and open it for the radius of 4cms<\/p>\n

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      Step 2: <\/strong>Use sharp pencil and mark a point. The centre of circle is named as O<\/p>\n

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      Step 3:<\/strong> Put the pointer of compass at centre or O<\/p>\n

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      Step 4: <\/strong>Turn the compass to draw the complete circle at one instant.<\/p>\n

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