Question 56 of 104 in Unit 6

Shape and Space 6

1 mark · Easy

In the circle below, O is the centre. The distance from O to the chord AB is 5 cm. The radius of the circle is 13 cm. Find the length of the chord AB.

O is centre; OM = 5 cm, OA = 13 cm. Find AB.

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24 cm (±0)

Common mistakes: Forgets to double length

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Marking points

A1 · 1 mark · Correct answer for length of chord: 24 cm.

Worked solution

Let M be the midpoint of AB. OM ⟂ AB, OA = 13, OM = 5.

So, AB = 2 × 12 = 24 cm.

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