Maths / Circles / Equal Chords of a Circle Subtend Equal Angle at the Centre

QUESTION

 In the given figure, if O is the centre of the circle, $\fn_jvn \large \angle$AOB = $\fn_jvn \large \angle$ EOF = $\fn_jvn \large \angle$ COD = 60^0 and AB = 4 units, find EF + CD.

EXPLANATION
Explain TypeExplanation Content
Text
 O is the centre of the circle.$\fn_jvn \large \angle$AOB = $\fn_jvn \large \angle$ EOF = $\fn_jvn \large \angle$ COD = $\fn_jvn \large 60^0$ and AB = 4 units (Given)Here, $\fn_jvn \large \angle$AOB = $\fn_jvn \large \angle$ EOF = $\fn_jvn \large \angle$ CODTherefore, AB = EF = CD = 4 units [ If the angles subtended by two chords of a circle at the centre are equal then the chords are alos equal]Thus, EF + CD = 4 units + 4 units = 8 units.

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