{"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":"
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 Theory<\/strong> <\/span> Procedure<\/strong> <\/span> Result<\/strong> <\/span> 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":"\n\n
\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
\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
\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
\nIt is verified that equal chords of a circle are equidistant from the centre of the circle.<\/p>\n