The area of the shaded region is 22.58
What is area of a triangle ?
"The area of a triangle is defined as the total space occupied by the three sides of a triangle in a 2-dimensional plane."
What is area of an arc?
"The space enclosed by the sector of a circle is called the area of the sector."
Here,
Given the radius of the circle is 5cm.
The area of the arc is [tex]\(r^2*theta/2[/tex]
i.e. area of the arc is = [tex]\(5^2*4\pi/9[/tex] [tex]= \(25*4\π/9 = 100*3.14/9 = 34.88[/tex]
The area of the triangle inside the circle is [tex]\(a.b*sin(y)/2[/tex]
i.e. the area of the triangle is = [tex]\(5*5*sin(80\°)/2 = 25*0.492 = 12.3[/tex]
So, area of the shaded region is = [tex]34.88-12.3 = 22.58[/tex]
Hence, the area of the shaded region is 22.58
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[tex]\r^2*theta/2[/tex]
