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Find Perimeter Of Shaded Area

(a) Find the area of the shaded region. (b) Find the perimeter of the shaded region.?

Refer to the figure below.

(a) Find the area of the shaded region. (Round your answer to one decimal place.)

(b) Find the perimeter of the shaded region. (Round your answer to one decimal place.)

How do i find the perimeter of a shaded area?

1) There is not enough information to solve this.
To calculate the area of the shaded area (which is what I'm assuming you want to do), you need to calculate the area of the square (which is 10x10 = 100) and then subtract the area of the non-shaded circle (which you can only do if you have values for that circle)
If you just want the perimeter of the square then that is easy : It's 4*10 = 40. But then the part with the circle wouldn't make any sense whatsoever.

2) Works the same way as above.

First calculate the area of the square (9*9 = 81). Then subtract that from the area of the circle (π r^2, i.e. 3.14 * 6^2 = 113.04)

Thus the area of the shaded part of the circle would be 113.04 - 81 = 32.04.

Find the perimeter of the shaded region. help :)?

Perimeter of a circle = 2 *pi* radius or = pi *diameter

From your picture the diameter of that semicircle = 8

so the perimeter of the circle = 8 * pi

perimeter of semicircle (half circle) = 8*pi / 2 = 4* pi

Also, you can find the radius of the circle = diameter/2 = 8/2= 4

The Width of that rectangular = 1+ radius = 1+4 = 5

The two bottom short edges = the length of the rectangular - diameter of the semicircle = 10-8=2

The perimeter of the shaded area = Length of the rectangular + 2 * width + two bottom short edges + perimeter of the semicircle = 10+2*5+2+4*pi=22 + 4* pi

the answer is a.

Have fun !

The shaded region has an area of 16cm^2. What is the perimeter of the square?

If you mean that the diagonals of the square are drawn (hence forming 4 triangles), and that one of the triangles is shaded. Then yeah, the answer is 32cms.

Area of the square = 4 * 16 = 64 cm^2.
Length of square = root(64) = 8 cm
Perimeter = 4 * length = 4*8 = 32 cm

How do I find the perimeter of the shaded region within this circle?

Since 360°/72° = 5, it takes 5 pie wedges to fill in the circle.

So the area of the pie wedge is π * r² / 5 = π * 10² / 5 = 20π = 62.8318531

The area of the triangle is (1/2) r² sin 72° = (1/2)* 10² * sin 72° = 50 sin 72° = 47.5528258

The area of the shaded crescent is the area of the pie wedge minus the area of the triangle =

20π - 50 sin 72° = 15.2790273I have no idea where you got 44.9 from.

Perimeter of shaded region triangles help?

I need to know the type of triangle. If right-angled, we can use pythagoras to calculate missing side length. I'll assume it is.

hyp = sqr rt (base^2 + height^2)
= sqr rt (11.6^2 + 12.1^2)
= sqr rt (134.56 + 146.41)
= sqr rt (280.97).
= 16.762

perimeter of triangle = 11.6 + 12.1 + 16.762
= 40.462

perimeter of semicircle = PI * Diameter / 2 + Diameter
= 14.914

perimeter of area = 55.376

this assumes right-angled triangle so base and height are equal to two of the sides. Adjust by working out missing sides for other types of triangle.

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