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fgiga [73]
3 years ago
5

Find the area and the perimeter of the shaded regions below. Give your answer as a completely simplified exact value in terms of

π (no approximations). The figures below are based on semicircles or quarter circles and problems b), c), and d) are involving portions of a square.

Mathematics
1 answer:
Finger [1]3 years ago
7 0

Answer:

Area of shaded part = 41.09733550

Perimeter of shaded part = 35.82011867

Step-by-step explanation:

Area of shaded part =  ((πr^2)   4) - (bh ÷ 2)

Area of shaded part = ((π(12)^2) ÷ 4) - ((12)(12) ÷ 2)

Area of shaded part = (452.3893421 ÷ 4) - (144 ÷ 2)

Area of shaded part = (113.0973355) - (72)

Area of shaded part = 41.09733550

Perimeter of shadedpart:

AC = √a^2 + b^2

AC = √12^2 + 12^2

AC = √144 + 144

AC = √288

AC = 16.97056275

Perimeter of whole circle ÷ 4:

C=2πr

C=2π(12)

C=75.39822369

C ÷ 4 = 75.39822369 ÷ 4

C ÷ 4 = 18.84955592

<em>Perimeter of shaded part: </em>

18.84955592 + 16.97056275 = 35.82011867

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What is 56.25% as a fraction
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2 years ago
A safety regulation states that the maximum angle of elevation for a rescue ladder is 72°. A fire department's longest ladder is
Julli [10]

Answer:

The maximum safe rescue height is   104.6 feet above the height of  the ground.

Step-by-step explanation:

Consider a triangle ABC where C is the point where the rescue ladder is standing and  AB be the building  and Ladder making an angle of 72° as shown.

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Using Trigonometric ratio,

\sin C=\frac{\text{Perpendicular}}{\text{Hypotenuse}}

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Answer:

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P=690

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8 0
2 years ago
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