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  • 11-02-2021
  • Mathematics
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a chord subtends an angle of 34 at the center of a circle of radius 4cm find the length of the chord (take =22/7)​

Respuesta :

Eduard22sly
Eduard22sly Eduard22sly
  • 16-02-2021

Answer:

2.34 cm

Step-by-step explanation:

From the question given above, the following data were obtained:

Angle at the centre (θ) = 34°

Radius (r) = 4 cm

Length of chord (C) =?

The length of the chord can be obtained as follow:

C = 2rSine(θ/2)

C = 2 × 4 × Sine(34/2)

C = 8 × Sine 17

C = 8 × 0.2924

C = 2.34 cm

Therefore, the lenght of the chord is 2.34 cm.

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