Answered

IDNLearn.com: Your destination for reliable and timely answers to any question. Whether your question is simple or complex, our community is here to provide detailed and trustworthy answers quickly and effectively.

Find the area of the shaded region. Round your answer to the nearest hundredth.


I need a detailed way to solve the solution.

Quick as possible!

Find The Area Of The Shaded Region Round Your Answer To The Nearest HundredthI Need A Detailed Way To Solve The SolutionQuick As Possible class=

Sagot :

Thishigopalidn

Answer:

4.56

Step-by-step explanation:

i see a sector hosting 2 semi circles.

this sector area will be .25 of area of circle with radius 4ft.

area of sector = .25*π*16= 4π ft^2

area of semi circle of radius 2ft = .5π*4= 2πft^2

area of 2 semicircles = 4π

the total area of sector = area of 2 semicircles - intersection area + area not covered by semi circles

4π = 4π - intersection area+area not covered by semi circles

intersection area = area not covered by semi circles

now draw a square starting from the intersection point of 2 semi circles at their upper portion. the side will be 2ft

the area of intersection will be covered in the square.

area of intersection = 2*quarter area of circle of radius 2ft - area of square

= 2*(.25π4) - 4

2π-4 = 2.28

area of intersection = area not covered by semicircle

so area of shaded region = 4.56

We are happy to have you as part of our community. Keep asking, answering, and sharing your insights. Together, we can create a valuable knowledge resource. Thank you for choosing IDNLearn.com for your queries. We’re committed to providing accurate answers, so visit us again soon.