vicky681
vicky681 vicky681
  • 26-02-2017
  • Mathematics
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the radius of a circle is 4 feet. What is the area of a sector bounded by a 45° arc?

the radius of a circle is 4 feet What is the area of a sector bounded by a 45 arc class=

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ChandrikaP ChandrikaP
  • 26-02-2017
If u see circle make 360° as a whole
So 45 ° is 1/8th of the entire angle

If u find whole area of a circle= pi×r^2
r=4 ft
A= 16π
So divide it by 8
A= 2π feet^2
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williamwu309
williamwu309 williamwu309
  • 26-02-2017
Sinc the radius of the circle is 4 feet, the area = [tex] \pi [/tex][tex] r^{2} [/tex]. The area would equal [tex]16 \pi [/tex]. Then, [tex] \frac{360}{45} [/tex] would equal 8, and [tex] \frac{16 \pi }{8} [/tex] would equal [tex]2 \pi [/tex]
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