All categories

3 years ago

How do you solve for the segment area in a circle?

Mathematics

1 answer:

Aleks04 [339]3 years ago

6 0

The area of the entire sector of DEF = 60 / 360 * PI * radius^2
sector area = 1 / 6 * 3.14159265... * 20^2
sector area = 209.4395102393 

segment area = sector area - triangle DEF Area
triangle DEF Area = (1/2) * 20 * sine 60 * 20
triangle DEF Area = (1/2) * 0.86603 * 400
triangle DEF Area = (1/2) * 346.412 
triangle DEF Area = 173.206 

segment area = 209.4395102393 -173.206

segment area = 36.2335102393 
segment area = 36.23 m

Source:
http://www.1728.org/circsect.htm

You might be interested in

Lastima Nelson, Inc. is recruiting a new Chief Financial Officer (CFO). The recruiting budget is $44,000. Lastima has spent $10,

Musya8 [376]

The budget is $44000

Total spent so far is $10000 + $8500 = $18500

The amount left to spend = 44000 - 18500 = $25500

$25500 is the maximum 6% commission that Lastima Nelson Inc. can spend and stays within the budget

Let the maximum price of the home be $x$
This value of $x$ will be the 100% before the 6% commission is calculated of it.

6% of $x$ is 25500
1% of $x$ is 25500 ÷ 6 = $4250
100% of $x$ is 4250 × 100 = $425,000

So, the maximum value of the home is $425,000

5 0

3 years ago

PLZ HELP ASAP!! Drag and drop the constant of proportionality into the box to match the table. If the table is not proportional,

Morgarella [4.7K]

Answer:

not proportional

2 / 1 ≠ 3 / 2

5 0

3 years ago

It was reported in your department meeting that over the past year your hospital decreased the number of employees by four perce

Tju [1.3M]

Answer:

Number of people employed this year = 373

Step-by-step explanation:

Let the number of employees this year = x

These employees were decreased by 4% then the remaining number of employees this year = x - (4% of x)

= x - 0.04x

= 0.96x

If last year number of people employed were 389 then the number of people employed this year = 0.96×389

= 373.44

When rounded to whole number, number of people employed this year = 373.

7 0

3 years ago

Somebody plz help me with this

Leviafan [203]

Answer M=-2
Because when it’s negative it’s going from left to right and when it is to that means 2 up 1 to the right

6 0

2 years ago

A big movie theater had 1,200 seats. 864 of the total number of the seats were sold. what percentage of the seats was sold

Reil [10]

Answer:

72%.

Step-by-step explanation:

We have been given that a big movie theater had 1,200 seats. 864 of the total number of the seats were sold.

To find what percentage of the total seats were sold we will find 864 is what percent of 1200.

$\text{ Percentage of sold seats}=\frac{864}{1200}\times 100$

$\text{ Percentage of sold seats}=0.72\times 100$

$\text{ Percentage of sold seats}=72$

Therefore, 72% of the total seats were sold.

8 0

3 years ago