Sector area definition

1 answer:

8 0

<span>Definition: The number of square units it takes to exactly fill a sector of a circle.

Do you want the exact equation? arc length is </span>Area= rl/2 and arc length is the same as sector area

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There is a rectangle ABCD, with sides AB = CD = 32, and sides and BC = DA = 24. The rectangle is rotated 90° clockwise about C,

Sphinxa [80]

Answer

given,

side of rectangle, AB = CD = 32

BC = DA = 24

rectangle is rotated 90° clockwise about C.

then rotated 90° clockwise about D.

Path traveled by the point A for first rotation will be in circle with radius AC.

$D_1 = \dfrac{\theta_1}{360^0}\times \pi \times {AC}^2$

$AC = \sqrt{24^2+32^2}$

AC = 40

θ₁ = 90°

$D_1 = \dfrac{90^0}{360^0}\times \pi \times {40}^2$

D₁ = 1256.64

For the second rotation Point A will move in circular path with radius of AD

$D_2 = \dfrac{\theta_2}{360^0}\pi {AD}^2$

AD = 24

θ₁ = 90°

$D_2 = \dfrac{90^0}{360^0}\times \pi \times {24}^2$

D₂ = 452.39

total path traveled by the point A

D = D₁ + D₂

D = 1256.64 + 452.39

D = 1709.03

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2 years ago

If a coin is flipped and then a six-sided number cube is rolled, what is the probability that the outcome will be Heads and a 2?

Lina20 [59]

The probability is 1/12.

There are two outcomes for flipping a coin and 6 for rolling a 6-sided number cube. The sample space is:
(H, 1), (H, 2), (H, 3), (H, 4), (H, 5), (H, 6)
(T, 1), (T, 2), (T, 3), (T, 4), (T, 5), (T, 6)

There are 12 total outcomes. Only one has heads and a 2, so the probability is 1/12.

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2 years ago

When the factors of a trinomial are (x - p) and (x - q) then the constant term of the trinomial is:

padilas [110]

Its the product of -p and -q

that is b.

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2 years ago

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Answer:

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