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lana [24]
4 years ago
7

A circle has a sector with area 27\pi27π27, pi and central angle of \purple{120^\circ}120 ∘ start color #9d38bd, 120, degrees, e

nd color #9d38bd. What is the area of the circle?
Mathematics
2 answers:
Korolek [52]4 years ago
5 0

Answer:

The answer: 81π

expeople1 [14]4 years ago
3 0

Answer:

The radius of the circle is 9 units.

Step-by-step explanation:

To calculate the area of the circle we need to find it's radius, since we have the area of the sector and it's angle, therefore we can calculate the radius by using the following formula:

sector area = (central angle)*pi*r²/360

27pi = 120*pi*r²/360

27pi = pi*r²/3

27 = r²/3

r² = 81

r = sqrt(81) = 9

The radius of the circle is 9 units.

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3 years ago
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GrogVix [38]
The answer is D) They do not intersect and are not coplanar.

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4 0
3 years ago
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Geometry<br>Answers for 1-3, <br>Multiple Choice!​
brilliants [131]

Answer:

  1. a.  ∠Y, ∠W, ∠X
  2. d.  75°
  3. d.  5

Step-by-step explanation:

1. The sides, shortest to longest, are 5, 10, 12. The angles opposite are in the same order (smallest to largest). Those angles are ∠Y, ∠W, ∠X.

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2. The triangle isosceles, so the base angles are equal. The sum of angles in a triangle is 180°, so you have ...

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7 0
4 years ago
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anastassius [24]
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4 0
3 years ago
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A summer camp is organizing a hike and needs to buy granola bars for the
IgorLugansk [536]

Answer:

The number of small boxes is 9 and the number of large boxes is 3

Step-by-step explanation:

Let x be the number of large boxes.

The camp bought 3 times as many small boxes as large boxes, then the number of small boxes is 3x.

Each small box has 6 granola bars, then there are 6\cdot 3x=18x granola bars in 3x small boxes.

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All boxes had 90 granola bars, so

18x+12x=90\\ \\30x=90\\ \\x=3\\ \\3x=9

7 0
3 years ago
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