{"id":18807,"date":"2018-01-18T12:28:16","date_gmt":"2018-01-18T12:28:16","guid":{"rendered":"https:\/\/cbselibrary.com\/?p=18807"},"modified":"2020-11-26T12:11:47","modified_gmt":"2020-11-26T06:41:47","slug":"math-labs-activity-perpendicular-drawn-centre-circle-bisect-chord","status":"publish","type":"post","link":"https:\/\/cbselibrary.com\/math-labs-activity-perpendicular-drawn-centre-circle-bisect-chord\/","title":{"rendered":"Math Labs with Activity – Perpendicular Drawn from Centre of a Circle to Bisect a Chord"},"content":{"rendered":"

Math Labs with Activity – Perpendicular Drawn from Centre of a Circle to Bisect a Chord<\/strong><\/span><\/h2>\n

OBJECTIVE<\/strong><\/span><\/p>\n

To verify that the perpendicular drawn from the centre of a circle to a chord bisects the chord.<\/p>\n

Materials Required<\/strong><\/span><\/p>\n

    \n
  1. A sheet of white paper<\/li>\n
  2. A geometry box<\/li>\n
  3. A sheet of tracing paper<\/li>\n
  4. A piece of cardboard<\/li>\n
  5. A tube of glue<\/li>\n<\/ol>\n

    Theory<\/strong><\/span>
    \nThe theorem can be proved as below.
    \nConsider a circle with centre O and radius r having a chord AB. Let OL be the perpendicular drawn from the centre of the circle to the chord AB. Join OA and OB (see Figure 18.1).
    \n\"Math
    \nIn \u0394AOL and BOL, we have<\/p>\n

      \n
    1. OA = OB (each equal to r)<\/li>\n
    2. OL =OL (common)<\/li>\n
    3. \u2220OLA = \u2220OLB (each equal to 90\u00b0)<\/li>\n<\/ol>\n

      Therefore, \u0394AOL is congruent to \u0394BOL (by RHS-criterion).
      \nSo, LA = LB, i.e., L is the midpoint of AB.<\/p>\n

      Procedure<\/strong> <\/span>
      \nStep 1:<\/strong> Paste the sheet of white paper on the cardboard and mark a point O on this paper. With O as the centre, draw a circle with any radius.
      \nStep 2:<\/strong> Draw a chord AB in this circle.
      \nStep 3:<\/strong> Trace the circle along with the chord AB on the tracing paper.
      \nStep 4:<\/strong> Fold the tracing paper along a line which passes through the centre O of the circle and also cuts the chord AB such that the part of the chord that lies on one side of this line overlaps the part on the other side.
      \nForm a crease and unfold the tracing paper. Draw a line OL over the crease such that the point L lies on the chord AB, as shown in Figure 18.2. Then, OL is the perpendicular drawn from the centre of the circle to the chord AB.
      \n\"Math
      \nStep 5:<\/strong> Now fold the tracing paper along the line OL.<\/p>\n

      Observations<\/strong><\/span>
      \nWe observe that when the tracing paper is folded along the line OL, the point A lies exactly over the point B. This shows that AL = LB, i.e., L is the midpoint of AB, i.e., OL bisects the chord AB.<\/p>\n

      Result<\/strong> <\/span>
      \nIt is verified that the perpendicular drawn from the centre of a circle to a chord bisects the chord.<\/p>\n

      Math Labs with Activity<\/a>Math Labs<\/a>Science Practical Skills<\/a>Science Labs<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"

      Math Labs with Activity – Perpendicular Drawn from Centre of a Circle to Bisect a Chord OBJECTIVE To verify that the perpendicular drawn from the centre of a circle to a chord bisects the chord. Materials Required A sheet of white paper A geometry box A sheet of tracing paper A piece of cardboard A … Read more<\/a><\/p>\n","protected":false},"author":5,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[6805],"tags":[],"yoast_head":"\nMath Labs with Activity - Perpendicular Drawn from Centre of a Circle to Bisect a Chord - CBSE Library<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/cbselibrary.com\/math-labs-activity-perpendicular-drawn-centre-circle-bisect-chord\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Math Labs with Activity - Perpendicular Drawn from Centre of a Circle to Bisect a Chord\" \/>\n<meta property=\"og:description\" content=\"Math Labs with Activity – Perpendicular Drawn from Centre of a Circle to Bisect a Chord OBJECTIVE To verify that the perpendicular drawn from the centre of a circle to a chord bisects the chord. Materials Required A sheet of white paper A geometry box A sheet of tracing paper A piece of cardboard A ... Read more\" \/>\n<meta property=\"og:url\" content=\"https:\/\/cbselibrary.com\/math-labs-activity-perpendicular-drawn-centre-circle-bisect-chord\/\" \/>\n<meta property=\"og:site_name\" content=\"CBSE Library\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/aplustopper\/\" \/>\n<meta property=\"article:published_time\" content=\"2018-01-18T12:28:16+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2020-11-26T06:41:47+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2018\/01\/Math-Labs-with-Activity-Perpendicular-Drawn-from-Centre-of-a-Circle-to-Bisect-a-Chord-1.png\" \/>\n<meta name=\"twitter:card\" content=\"summary\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Prasanna\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"2 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Organization\",\"@id\":\"https:\/\/cbselibrary.com\/#organization\",\"name\":\"Aplus Topper\",\"url\":\"https:\/\/cbselibrary.com\/\",\"sameAs\":[\"https:\/\/www.facebook.com\/aplustopper\/\"],\"logo\":{\"@type\":\"ImageObject\",\"@id\":\"https:\/\/cbselibrary.com\/#logo\",\"inLanguage\":\"en-US\",\"url\":\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2018\/12\/Aplus_380x90-logo.jpg\",\"contentUrl\":\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2018\/12\/Aplus_380x90-logo.jpg\",\"width\":1585,\"height\":375,\"caption\":\"Aplus Topper\"},\"image\":{\"@id\":\"https:\/\/cbselibrary.com\/#logo\"}},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/cbselibrary.com\/#website\",\"url\":\"https:\/\/cbselibrary.com\/\",\"name\":\"CBSE Library\",\"description\":\"Improve your Grades\",\"publisher\":{\"@id\":\"https:\/\/cbselibrary.com\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/cbselibrary.com\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"en-US\"},{\"@type\":\"ImageObject\",\"@id\":\"https:\/\/cbselibrary.com\/math-labs-activity-perpendicular-drawn-centre-circle-bisect-chord\/#primaryimage\",\"inLanguage\":\"en-US\",\"url\":\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2018\/01\/Math-Labs-with-Activity-Perpendicular-Drawn-from-Centre-of-a-Circle-to-Bisect-a-Chord-1.png\",\"contentUrl\":\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2018\/01\/Math-Labs-with-Activity-Perpendicular-Drawn-from-Centre-of-a-Circle-to-Bisect-a-Chord-1.png\",\"width\":164,\"height\":195,\"caption\":\"Math Labs with Activity - 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