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pls help
Find the area of the shaded region.
80°
5 cm
A = [?] cm2
Enter a decimal rounded to the nearest tenth.


Pls Help Find The Area Of The Shaded Region 80 5 Cm A Cm2 Enter A Decimal Rounded To The Nearest Tenth class=

Sagot :

Answer:

It’s been over a year, but I’ll take those points.

Step-by-step explanation:

5.1 cm² is the correct answer.
if you see this somehow it sucks that it was on your final.

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

To know more about area here

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[tex]\r^2*theta/2[/tex]