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20-04-2024
Mathematics

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A and B are two points on the circumference of a circle with centre O and radius 14 cm. Given that the length of the minor arc AB is 11 cm, find the size of the reflex angle AOB.

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Itz5151 Itz5151

20-04-2024

Answer:

315

Step-by-step explanation:

Basically arc length = 2πr*∅/360

∅ = <AOB

11 = 2*π*14 * <AOB/360 = 2*22/7*14*<AOB/360 = 2*22*2*<AOB/360

88*<AOB/360 = 11

<AOB = 360/8 = 45

Reflex <AOB = x = 360-45 = 315°(Angle at a point is 360°)

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