{"id":18822,"date":"2018-01-19T06:00:05","date_gmt":"2018-01-19T06:00:05","guid":{"rendered":"https:\/\/cbselibrary.com\/?p=18822"},"modified":"2020-11-26T12:17:48","modified_gmt":"2020-11-26T06:47:48","slug":"math-labs-activity-equal-chords-circle-equidistant","status":"publish","type":"post","link":"https:\/\/cbselibrary.com\/math-labs-activity-equal-chords-circle-equidistant\/","title":{"rendered":"Math Labs with Activity – Equal Chords of a Circle are Equidistant"},"content":{"rendered":"

Math Labs with Activity – Equal Chords of a Circle are Equidistant<\/strong><\/span><\/h2>\n

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

To verify that equal chords of a circle are equidistant from the centre of the circle<\/p>\n

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

    \n
  1. A sheet of transparent paper<\/li>\n
  2. A geometry box<\/li>\n<\/ol>\n

    Theory<\/strong> <\/span>
    \nThe length of the perpendicular drawn from the centre of a circle to a chord gives the distance of the chord from the centre of the circle.<\/p>\n

    Procedure<\/strong> <\/span>
    \nStep 1:<\/strong> Mark a point O on the sheet of transparent paper.
    \nWith O as the centre, draw a circle of any radius.
    \nStep 2:<\/strong> Draw two equal chords AB and PQ in this circle. (Adopt the procedure discussed in Activity 15.)
    \nStep 3:<\/strong> Fold the paper along the line which passes through O and cuts the chord AB such that one part of the chord AB overlaps the other part.
    \nMake a crease and unfold the paper. Mark the point M where the line of fold cuts the chord AB. Join OM. Then, OM \u22a5 AB. Thus, OM is the distance of the chord AB from the centre O of the circle.
    \nStep 4:<\/strong> Again fold the paper along the line which passes through O and cuts the chord PQ such that one part of the chord PQ overlaps the other part.
    \nMake a crease and unfold the paper. Mark the point N where the line of fold cuts the chord PQ. Join ON. Then, ON \u22a5 PQ. Thus, ON is the distance of chord PQ from the centre O of the circle.
    \nStep 5:<\/strong> Fold the paper along the line passing through the centre O of the circle such that the line OM overlaps the line ON.
    \n\"Math
    \nObservations<\/strong><\/span>
    \nWhen the paper is folded along the line passing through O such that the line OM overlaps the line ON, we observe that the point M lies exactly over the point N.
    \nTherefore, OM =ON, i.e., the distance of the chord AB from O = the distance of the chord PQ from O.<\/p>\n

    Result<\/strong> <\/span>
    \nIt is verified that equal chords of a circle are equidistant from the centre of the circle.<\/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 – Equal Chords of a Circle are Equidistant OBJECTIVE To verify that equal chords of a circle are equidistant from the centre of the circle Materials Required A sheet of transparent paper A geometry box Theory The length of the perpendicular drawn from the centre of a circle to a chord … 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 - Equal Chords of a Circle are Equidistant - 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-equal-chords-circle-equidistant\/\" \/>\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 - Equal Chords of a Circle are Equidistant\" \/>\n<meta property=\"og:description\" content=\"Math Labs with Activity – Equal Chords of a Circle are Equidistant OBJECTIVE To verify that equal chords of a circle are equidistant from the centre of the circle Materials Required A sheet of transparent paper A geometry box Theory The length of the perpendicular drawn from the centre of a circle to a chord ... 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