CAT 2018 Geometry & Mensuration Question (Medium)

Question

A chord of length 5 cm subtends an angle of 60 at the centre of a circle. The length, in cm, of a chord that subtends an angle of 120 at the centre of the same circle is

Accepted Answer

Step 1 Let the radius of the circle be . A chord of length 5 cm subtends an angle of at the centre. Using the chord length formula Given So, Step 2 Now, for the chord that subtends at the centre Chord length Final Answer The required length is

CAT 2018

Quantitative

Geometry & Mensuration

Medium

A chord of length 5 cm subtends an angle of 60° at the centre of a circle. The length, in cm, of a chord that subtends an angle of 120° at the centre of the same circle is

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