A sidewalk around a circular park covers a distance of 65 meters. A new sidewalk is being constructed across the park through its center. About how long will the new sidewalk be? Use 3.14 for π. Round to the nearest meter.

Respuesta :

Answer:


21 m


Step-by-step explanation:


Circumference of circular park = 2πr


65 = 2πr


Solve this to find r:


65 = 2 x 3.14 x r


r = 65 / 6.28


r = 10.35


Now to find the find the distance of the new sidewalk, multiply r with 2 (to get the diameter):


2 x 10.35 = 20.7 ≈ 21 m


Therefore, the distance of new side walk, rounded to the nearest meter, is 21 m.