interruptingcøw
interruptingcøw interruptingcøw
  • 18-12-2018
  • Mathematics
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In the figure below, OMPN is a square. If the area of the circle O is 4π then what is the area of the shaded region?

In the figure below OMPN is a square If the area of the circle O is 4π then what is the area of the shaded region class=

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znk
znk znk
  • 18-12-2018

Answer:

4 - π

Step-by-step explanation:

(a) Radius of circle

  A = πr²      Substitute value of A

4π = πr²      Divide each side by π

 r² = 4         Take the square root of each side

  r = 2

(b) Area of MON

A = ¼ × area of circle

A = ¼ × 4π

A = π

(c) Area of MONP

 l = r      Substitute the value of r

 l = 2

A = l²      Substitute the value of l

A = 2²

A = 4

(d) Area of MPN

A(MPN) = A(MONP) – A(MON)  

Area(MPN) = 4 - π

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