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  • 20-03-2017
  • Mathematics
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What is the are of the shaded region?

What is the are of the shaded region class=

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LammettHash
LammettHash LammettHash
  • 20-03-2017
Shaded area = Area of circle - 2(area of one triangle)

The circle has radius 5 cm, so its area is [tex]\pi 5^2=25\pi[/tex]

The triangle has a base of 6 cm. Two of its legs coincide with the radius of the circle, which means the height of the triangle must be 5 - 1 = 4 cm. So one triangle's area would be [tex]\dfrac12\times6\times4=12[/tex].

Shaded area = [tex]25\pi-2(12)=25\pi-24[/tex].
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