construct a circle of 4 cm radius and draw center O, Diameter PQ, Chord PS, Radius QR
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Answer:
Diameter = 26 cm
chord = 24 cm
Perpendicular drawn from the centre of the circle to the chord bisects the chord.
OD ⊥ AB
So, AD = DB
AO = OC (Radii)
In ∆ODA,
OD2+AD2=OA2⇒OD2+122=132⇒OD2+144=169⇒OD2=169−144=25⇒OD=5 cm
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