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<p>\(AB\), \(AC\) and \(AD\) are chords of a circle such that&nbsp;\(AB = 4\) cm, \(AC = 10\) cm and \(AD = 11\) cm. Given that&nbsp;\(AC\) bisects \(\angle BAD\), find the area of the circle.</p>
<div class="content-block"><figure class="question-figure alignright" style="text-align: right;"><img src="https://vocwkpgapvksartxhhor.supabase.co/storage/v1/object/sign/question-images/pasted/1770728619550-uu6wi9exw8l.png?token=eyJraWQiOiJiZTM3ZjNhZS05OWM4LTQ5ZGQtYjRiNS1iMTBhYmJhNjY5MWYiLCJhbGciOiJIUzI1NiJ9.eyJ1cmwiOiJxdWVzdGlvbi1pbWFnZXMvcGFzdGVkLzE3NzA3Mjg2MTk1NTAtdXU2d2k5ZXh3OGwucG5nIiwic2NvcGUiOiJkb3dubG9hZCIsImlhdCI6MTc5MjcyNTY5MCwiZXhwIjoxNzkyNzI1OTkwfQ.RPl2kBPnhjHQBbvyQZAMUgEFnLm5-pKkd8u7q5gNwSA" style="max-width: min(160px, 100%); height: auto; display: block;" alt="Chords in a circle" class="alignright custom-width" /></figure></div>

\(AB\), \(AC\) and \(AD\) are chords of a circle such that \(AB = 4\) cm, \(AC = 10\) cm and \(AD = 11\) cm. Given that \(AC\) bisects \(\angle BAD\), find the area of the circle.

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Equal Chords and Subtended Angles

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Angles in a Semicircle and the Converse

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Properties of Circle

Trigonometry

Perimeter and Area of Plane Figures

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