slsimpso slsimpso
  • 29-04-2020
  • Mathematics
contestada

A circle with radius 5 has a sector with a central angle of 9/10 pi radians

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nickwwe13 nickwwe13
  • 29-04-2020

Answer: 4.5 pi to this question

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mangococonut12
mangococonut12 mangococonut12
  • 29-04-2020
First, find out how many degrees 9/10pi radians is. You can multiply it by 180/pi.

9/10pi * 180/pi = 162 degrees

To find the arc sector length, the formula is n/360 * circumference of the circle (pi*r*2) where n is the central angle in degrees and r is the radius.
162/360 * pi*2*5
162/360 * 10 pi/ 1
which is 9/20 pi.

To find arc sector area, the formula is n/360 * area of circle (pi*r^2)
162/360 = pi * 5^2
which is 45pi/4
Answer Link

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