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Find the perimeter of the shaded region of this composite figure .You can use 3.14 for pi.llAlso round the answer to the nearest hundreth.

Find The Perimeter Of The Shaded Region Of This Composite Figure You Can Use 314 For PillAlso Round The Answer To The Nearest Hundreth class=

Sagot :

ANSWER

18.58 m

EXPLANATION

We need to find the perimeter of the shaded region of the figure.

The figure is made up of a rectangle with the cut out of a semi-circle, so, to find the perimeter, we will subtract the perimeter of the semi-circle (without the diameter) from that of the rectangle.

The perimeter of the rectangle is:

P = 2(L + B)

where L = length = 8 m

B = breadth = 6 m

So, the perimeter of the rectangle is:

P = 2(8 + 6) = 2 * 14

P = 28 m

The perimeter (circumference) of the semi-circle (without the diameter) is:

C = π * R

where R = radius of the semicircle

The diameter is 6 m, so the radius is:

R = D / 2 = 6 / 2 = 3 m

So, the circumference of the semicircle is:

C = 3.14 * 3

C = 9.42 m

So, the perimeter of the composite figure is:

P = 28 - 9.42

P = 18.58 m

That is the answer.

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