Question

Construct two chords of length 9 cm and 7 cm on either side of the centre of a circle of radius 5 cm. Measure the distance between the centre and the chords.

Answer 1

• Draw a circle of radius $r=5cm$ with center $O$
• Mark the chords of length $(AB=7cmandCD=9cm)$
• $M$ and $N$ are the midpoints of $CD$ and $AB$
  

($OC$ and $OB$ are radius)

In $△ONB$

$(ON{)}^2=(OB{)}^2-(NB{)}^{2}ON=\sqrt{5^2-(3.5{)}^2}ON=3.571cm$

In $△OMC$

$(OM{)}^2=(OC{)}^2-(MC{)}^{2}OM=\sqrt{5^2-(4.5{)}^2}OM=2.179cm$