Answer:
C
Step-by-step explanation:
area of circle is found by [tex]\pi[/tex][tex]r^{2}[/tex]
r=4 so 4*4=16
so A=16[tex]\pi[/tex]
we are finding area of shaded part so 45/360(16[tex]\pi[/tex])
The area of the shaded sector is (45/360)16π square units if Henry constructed circle A with a radius of 4 units option (C) is correct.
It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)
It is given that:
Henry constructed circle A with a radius of 4 units.
Henry then created a sector as shown in the figure below.
As we know, the area of the sector can be find using the formula:
Area of the sector = (θ/360)πr²
Here, θ is the central angle
r is the radius
π = 3.141
r = 4 units
θ = 45 degrees
A = (45/360)π(4)²
A = (45/360)16π square units
Thus, the area of the shaded sector is (45/360)16π square units if Henry constructed circle A with a radius of 4 units option (C) is correct.
Learn more about circle here:
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