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Secondary 1 | Maths
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Gar
Gar

Secondary 1 chevron_right Maths

SMO qn

Date Posted: 2 years ago
Views: 120
Muhd Ilman Fahmi
Muhd Ilman Fahmi
2 years ago
Draw a circle with the chord AB and CD. Extending CD further to the centre (lets call it O) of the circle gives the radius. OA and OB are also the radii of the circle.

Pythagoras theorem would show that
OA^2= OC^2+AC^2

However, OC+4=OD, a radius. Hence OD = OA

OC+4=OA
OC=OA-4

OA^2=(OA-4)^2+AC^2

You know AC, and you can hence expand and simplify the equation above. You get a quadratic equation, and solving it gets 2 answers. You accept the applicable answer of OA. Diameter is just twice this answer.

Go try it! Hope it helps

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MoeSatt Hmon
Moesatt Hmon's answer
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em
Gar
Gar
2 years ago
Awesome, thanks a lot. This helps.
MoeSatt Hmon
MoeSatt Hmon
2 years ago
emm welcome