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Secondary 1 | Maths

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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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