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Andrew [12]
3 years ago
15

A circle with radius \pink{9}9start color #ff00af, 9, end color #ff00af has a sector with a central angle of \purple{120^\circ}1

20 ∘ start color #9d38bd, 120, degrees, end color #9d38bd. What is the area of the sector? Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and enter your answer as a decimal.
Mathematics
2 answers:
elena55 [62]3 years ago
5 0

Answer:

27 pi

Step-by-step explanation:

just did this one

GrogVix [38]3 years ago
3 0

Answer:

Area of sector = 84.861

Step-by-step explanation:

Given

The radius of the circle = 9

central angle of sector = 120^{o}

value of pi π = 3.143

To find : the area of sector = ?

We know that the formula to calculate area of sector is given as:

area of sector = (π r^{2}Θ)/ 360^{o}

where, r  is radius and Θ is the central angle of the sector

Substituting the known values in above formula, we get

area of sector = (3.143 x 9^{2} x 120^{o}) / 360^{o}

                        = 84.861

Hence area of sector is 84.861

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Step-by-step explanation:

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Which pairs of rectangles are similar polygons?
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The two rectangular prisms are similar. What is the volume of the larger rectangular prism? 240 cm³ 540 cm³ 1620 cm³ 3240 cm³ A
Andreas93 [3]

Volume of a figure is measure of the space it occupies. The volume of the larger rectangular prism is given as: Option C: 1620 cm³

<h3>How to calculate volume of a rectangular prism?</h3>

If a rectangular prism has dimensions <u>a</u> unit, <u>b</u> unit, and <u>c</u> units, then its volume is given as

V = a \times b \times c \: \rm unit^3

<h3>What are similar figures?</h3>

They are scaled. It means, if two figures are similar, then we can get one figure from another by multiplying some constant value(same for one pair of similar figure) to its dimensions.

For example,

if for given case, one rectangular prism has got dimensions a, b, and c centimetres, then

the second rectangular prism, which is similar, let the scale factor is 'd',t then second prism's dimensions will be a x d units, b x d units, and  c x d units.

For first prism(smaller), its one side is given to be 5 cm, let its other two sides be 'b' cm, and 'c' cm, then,

60 \: \rm cm^3 = 5\times b\times c \\\\b\times c = \dfrac{60}{5} = 12

Now, the larger prism has 15 cm corresponding side, thus, scale factor was 3 (since 15 is 3 times 5).

Thus, its dimensions would be 15, 3 x b, 3 x c

Thus, its volume would be

15 \times 3 \times b \times 3 \times c = 135 \times  b\times c = 135 \times 12 = 1620 \: \rm cm^3

Thus,

The volume of the larger rectangular prism is given as: Option C: 1620 cm³

Learn more about volume of rectangular prism here:

brainly.com/question/21308574

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