Draw a circle with centre c and radius 4.2 cm draw Amy chord AB. Construct the prependicular bisector of AB and escamind if it passes through c
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The Perpendicular bisector XY of chord AB passes though point C.
Step-by-step explanation:
- Lets draw a circle of radius 4.2 cm.
- Mark a point C as centre (Fig 1 )
- Measure a radius of 4.2 cm using a ruler and compass (Fig 2)
- Now we keep the pointed end in the centre point C and using the pencil end of the compass we draw a circle of radius 4.2 cm (Fig 3)
- Then lets draw a chord AB (Fig 4)
To draw a a perpendicular bisector of AB, we follow the below steps:
- With A as centre and a radius greater than AB we draw an arc on the top and bottom of AB
- With B as centre and same radius as before we draw another arc at the top and bottom of chord AB (Fig 5)
- Lets name the points where two arcs meet at the top of the chord AB as X and two arcs intersect at the bottom as Y.Join XY and this is the perpendicular bisector of AB.
- On seeing the figure it is clear that the line XY which is the perpendicular bisector passes through C. (Fig 5)
Hence Proved.
To Learn More....
1. Find the area of a circle whose radius is 14 cm
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2. Find the circumference of a circle whose radius is 14 cm.
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