lucifershellhound839
lucifershellhound839 lucifershellhound839
  • 02-05-2019
  • Mathematics
contestada

the clock in our classroom has a radius of 9 inches. if its 4:00, find the arc length and area of the sector for this time.

Respuesta :

jamesphantos11
jamesphantos11 jamesphantos11
  • 02-05-2019

Answer:

6pi; 27pi

Step-by-step explanation:

Since 4:00 is 120 degrees on a clock, then it is 120/360 or 1/3 of the clock. Now let’s find the arch length! Since the radius of the clock is 9, then the circumference will be 18pi. Since 1/3 of the clock is 4:00, then the arc length is 1/3 of the circumference. SO the arc length is 6pi.

Now let’s find the area of the sector. Since the radius is 9, then the area is 81pi. So 1/3 of that is 27pi.

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