syedakhalil syedakhalil
  • 01-09-2020
  • Mathematics
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The area of a sector is 30 m2 in a circle with radius 4 m. What is the arc length of the sector?

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wegnerkolmp2741o
wegnerkolmp2741o wegnerkolmp2741o
  • 01-09-2020

Answer:

15 m

Step-by-step explanation:

The area of the circle is

A =pi r^2

A = pi 4^2 = 16 pi

The area of the sector is 30

The fraction is

30/16 pi  

Take this time 2pi which are the  radians of a circle

30 /16 pi * 2 pi = 15/4

This is the number of radians the angle is

The arc length is s = r * theta where theta is in radians

s = r  theta

  = 4 * 15/4

  = 15

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