Answered

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Henry constructed circle A with a radius of 4 units. He then created a sector
as shown in the figure below. Which of the following expressions would help
him find the area of the shaded sector?

Henry Constructed Circle A With A Radius Of 4 Units He Then Created A Sector As Shown In The Figure Below Which Of The Following Expressions Would Help Him Find class=

Sagot :

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.

What is a circle?

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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