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  • 22-06-2020
  • Mathematics
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what is the length of Arc AB if the radius of a circle is 6 cm​

what is the length of Arc AB if the radius of a circle is 6 cm class=

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eudora eudora
  • 26-06-2020

Answer:

Option (D)

Step-by-step explanation:

Length of arc AB in a circle O = 105°

Radius (AO) of the circle = 6 cm

Since, measure of an arc = central angle formed by the arc

Length of arc = [tex]\frac{\theta}{360}(2\pi r)[/tex]

Where θ = central angle = 105°

r = radius of the circle = 6 cm

By substituting these values in the formula,

m(arc AB) = [tex]\frac{105}{360}(2\pi \times 6)[/tex]

                = 10.9956

                ≈ 11.0 cm

Therefore, option (D) will be the answer.

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