The area of the shaded region is (25π - 24) sq.cm.
What is area of circle?
"[tex]A = \pi \times r^2[/tex], where 'r' is the radius of the circle."
What is the area of the triangle?
"[tex]A=\frac{1}{2}\times b\times h[/tex], where b is the base and h is the height."
What is an isosceles triangle?
- "It is a triangle that has any two sides equal in length."
- "The angles opposite to equal sides are equal in measure.
For given question,
area of the shaded region = area of circle - area of 2 isosceles triangles
First we find the area of the circle:
Here, radius r = 5 cm
So, the area of the circle would be,
[tex]A=\pi\times r^2\\\\A=\pi \times 5^2\\\\A=25\pi~cm^2[/tex]
Now, for isosceles triangle,
base b = 6 cm
And height h = 5 - 1
h = 4 cm
Using the formula for area of the triangle,
[tex]A=\frac{1}{2}\times b\times h\\\\ A=\frac{1}{2}\times 6\times 4\\\\ A=12~cm^2[/tex]
So, the area of the shaded region would be,
the area of the shaded region
[tex]= 25\pi - (2 \times 12)\\\\= 25\pi - 24 ~sq.cm.[/tex]
Therefore, the area of the shaded region is (25π - 24) sq.cm.
Learn more about the area of the shaded region here:
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