JessicaWhitlo
contestada

Shelly and Jamie participate in a street relay race. Jamie must run from point B along AB⌢, which represents part of a roundabout, to pass off the baton to Shelly at point A.

If the central angle measures 123∘, and the radius of the roundabout is 50 meters, how many meters must Jamie sprint to reach Shelly?

Use π≈3.14 and round your answer to the nearest meter.

Enter your answer as a number, like this: 42

Shelly and Jamie participate in a street relay race Jamie must run from point B along AB which represents part of a roundabout to pass off the baton to Shelly a class=

Respuesta :

Answer:

Jamie must sprint 107 meter to pass Shelly at point A.

Step-by-step explanation:

Circumference of a sector of the circle is represented by,

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

where θ = central angle subtended at the center by an arc

r = radius of the circle

[tex]m(\widehat{AB})[/tex] = [tex]\frac{123}{360}(2\pi )(50)[/tex]

           = 34.1667π

           = 107.34 meter

           ≈ 107 meter

Therefore, Jamie must sprint 107 meter to pass Shelly at point A.

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