MATHEMATICS MIDDLE SCHOOL

A circle has a sector with area 27pi and central angle of 120 degrees. What is the area of the circle

Answers

Answer 1

Answer:

Answer:

81 π

Step-by-step explanation:

The total central angle for a circle is 360 degrees.

In the question the sector with angle 120 degrees has area 27π.

So the circle can be considered as a combination of 3 sectors having angle 120 degrees each. Refer to the figure below.

Thus area of the circle will be three times of the area of the sector.

Area = 3 × 27π = 81π

Answer 2

Answer:

Step-by-step explanation:

81pi

Related Questions

What is 0.422 rounded to the nearest thousandth
Is 9 /12 rational or irrational
Last question of the day for 20 points :)
Which is an equivalent form of the compound inequality −44 > −2x − 8 ≥ −8?
Write an equation that involves multiplication, contains a variable, and has a solution of 5. Then write another equation that has the same solution and includes the same variable and numbers but use divison.

gianni borrowed money from his mother to buy a stereo for $875.68 a television for $456.32. He promised to pay his mother back over 100 week period , If Gianni pays his mother the same amount each week, how much will he pay each week ?

Answers

$13.32
$875.68 + $456.32 = $1332
$1332/100 = $13.32

What is the GCF of 42,9, and 6? Thanks.

Answers

The greatest common factor of those numbers is 3.

3 is the biggest number that can go into all of them. Good luck!

What is 6 times 7.49 hundredths

Answers

6 x 7.49 = 44.94

Hope this helps :)

The area of a playground is 204 yd^2 The width of the playground is 5 yd longer than its length. Find the length and width of the playground.

Answers

Answer:

Step-by-step explanation:

Assuming that the shape of the playground is rectangular, we know that the area of a rectangle is length x width.

Let the length = x

width = x + 5

x(x + 5) = 204

x² + 5x = 204

x² + 5x - 204 = 0

(x + 17)(x - 12) = 0

x = -17 and x = 12

However, since x represents the length of the playground, length cannot be negative. The only value possible is x = 12.

Therefore, the playground has a length of 12 yd and a width of 12 + 5 = 17 yd.

Answer:

length = 17 yd, width = 12 yd

Step-by-step explanation:

Find GCF of x^6 and x^5

Answers

x^6 = x * x * x * x * x * x

x^5 = x * x * x * x * x

The GCF is the greatest number of xs that each has in common. They are in bold. There are 5 xs that each of the terms have.

GCF = x^5

x^6 = x^5 * x

So GCF of x^6 and x^5 = x^5

Hope it helps.

To find the difference of 7 - 3 5/12 how do you rename the 7

Answers

Hi! Here's how you do this problem:

1. You want to turn the 7 into 6 12/12

2. Subtract the two

6 12/12 - 3 5/12 = 3 7/12

So your answer is 3 7/12. Hope I helped!

Other Questions

Suppose that on a coordinate plane a hexagon is reflected across the x-axis. Compare the area of the original hexagon to the area of the transformed figure. Justify your answer. A) The areas may or may not be the same because the scale is not given. B) The areas are equal. A reflection is a rigid transformation, which does not change the size of the original hexagon. Therefore, the area is preserved. C) The area of the original hexagon is greater than the transformed figure. A reflection decreases the size of the original polygon. Therefore, the area is not preserved. D) The area of the transformed hexagon is greater than the original figure. A reflection increases the size of the original polygon. Therefore, the area is not preserved.

Find the solution(s) to the system of equations. select all that apply y=x^2 - 4 y= 2x-5 - 2

Store A sells a 4-pack of AA size batteries for 3.79. Store B sells a 6 pack of AA batteries for 4.19.Which store has a better price per battery

Which coordinates will best represent point A'?A. (-2, 5)B. (4, -3)C. (-2, -3)D. (4, 5)