The area of the unshaded region is found to be 58.5 square units.
The circle is a rounded figure with no sides or edges.
A circle is defined in geometry as an enclosed, 2-dimensional curved object.
The diagram in the question depicts a triangle encircled by a circle with radius r. The triangle is entirely darkened.
As a result, the size of the unshaded region will be the difference between the areas of the circle and the triangle.
The area of the unshaded region equals the area of the circle minus the area of the triangle.
The formula for calculating the area of circle;
[tex]A=\pi r^{2}[/tex]
Where A denotes its area and r denotes the radius.
The formula for calculating the area of a triangle.
[tex]A=\frac{1}{2} b h[/tex]
Where A denotes the area, b the base, and h the perpendicular.
∴ The region of a unshaded region [tex]=\pi r^{2}-\frac{1}{2} b h[/tex]
Substituting the values;
h = 4, b = 10, and r = 5
The region of a unshaded region = [tex]\pi \times 5^{2}-\frac{1}{2} \times 10 \times 4[/tex]
= 25π - 5×4
Put π = 3.14
The area of a unshaded region = 25×3.14 - 5×4
The area of a unshaded region = 78.5 - 20
The area of a unshaded region = 58.5 square units
Therefore, the area of the unshaded region is found to be 58.5 square units.
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The correct question is-
Given that h=4, b=10, and r=5, find the area of the unshaded region. Use 3.14 for π as necessary. All answers are expressed in square units.
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