1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Nookie1986 [14]
3 years ago
10

What's the approximate area of a segment of a circle with a height 6 m and the length of the chord is 20 m? Round your answer to

the nearest whole number. A. 746.67 m2

Mathematics
1 answer:
yuradex [85]3 years ago
7 0
Hello!

The Correct Answer to this would be 100%:

Option "85.4".

(Work Below)

Given:
height = 6m
chord = 20 m

We need to find the radius of the circle.

20 m = 2 √ [ 6m( 2 x radius - 6 m ) ] 
20 m / 2 = 2 √[ 6m( 2 x radius - 6 m ) ] / 2 
10 m = √ [ 6m( 2 x radius - 6 m ) ] 
(10 m)² = √[ 6m( 2 x radius - 6 m ) ] ² 
100 m² = 6 m( 2 x radius - 6 m ) 
100 m² = 12 m x radius - 36 sq m 
100 m² + 36 m² = 12 m x radius - 36 m² + 36 m² 
136 m² = 12 m x radius 
136 m² / 12 m = 12 m x radius / 12 m 
<span>11.333 m = radius 
</span>
the area beneath an arc: 

Area = r² x arc cosine [ ( r - h ) / r ] - ( r - h ) x √( 2 x r x h - h²<span> ). 
</span>
r² = (11.333 m)² = 128.444 m² 
r - h= 11.333 m - 6 m = 5.333 m 
r * h = 11.333 m x 6 m = 68 m²

Area = 128.444 m² x arc cosine [ 5.333 m / 11.333 m ] - 5.333 m x √[ 2 x 68 m² - 36 m² ] 

Area = 128.444 m² x arc cosine [ 0.4706 ] - 5.333 m x √ [ 100m² ] 

Area = 128.444 m² x 1.0808 radians - 5.333 m x 10 m 

Area = 138.828 m² - 53.333 m² 

Area = 85.4 m<span>²
</span>

Hope this Helps! Have A Wonderful Day! :)


And as Always...

You might be interested in
An airplane traveled 700 kilometers in two hours during a trip. What was the average speed of the plane during the trip?
Igoryamba

9514 1404 393

Answer:

  350 km/h

Step-by-step explanation:

Speed = distance/time

speed = (700 km)/(2 h) = 350 km/h

8 0
3 years ago
Gina has $175 with which to buy items at the bake sale at school. The graph shows the amount of money she has remaining and the
Triss [41]

Answer:

B

Step-by-step explanation:

You can delete options A and C, because there are multiple domains and ranges throughout the graph.

B or D?

Range - y axis

Domain - x axis

You can see that the x axis goes to 25 and y axis goes till 175.

Therefore the answer is B

Hope this helps you!

8 0
2 years ago
How would you use proportional relationships in real life situations? <br> Provide an example.
Shkiper50 [21]

proportional relationship in our everyday life: When we put gas in our car, there is a relationship between the number of gallons of fuel that we put in the tank and the amount of money we will have to pay. In other words, the more gas we put in, the more money we'll pay.

4 0
3 years ago
Elizabeth has $50 in a savings account that earns 10% interest, compounded annually.
iris [78.8K]

Answer:

You would get around $44.35 just round it. Hope this helps:)

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
The cost to repair linda's car is $500, including parts and labor. the cost of parts is $140. if the cost of labor is $40 per ho
Mkey [24]
500=140+40h
minus 140 both sides
360=40h
divide y 40
9=h
9 hours
5 0
3 years ago
Other questions:
  • Cw 11.1 11.4 round to the tenths
    5·2 answers
  • Solve this system of equations: X=? Y=? ( JUST WRITE THE NUMBER ANSWERS WITH A COMMA BETWEEN THEM)
    8·1 answer
  • ​3 ​/​10 ​​ = ​9 /​k ​​ what is k
    7·2 answers
  • What is the length of the line segment EF?
    9·1 answer
  • A box of golf balls costs $7.32. At that rate, how much will a box of 15 balls cost?
    7·1 answer
  • Will anyone help me with this math problem?
    14·1 answer
  • Find the price of a $50 item after a 20% discount
    11·2 answers
  • The radius of a circle is (x-3)m. find the area of the circle
    8·1 answer
  • You and a friend are playing a game of chance. Every time you roll a 1 or 2 you are successful, and your friend will pay you $1.
    11·1 answer
  • Customers of a phone company can choose between two service plans for long distance calls. The first plan has a $28 monthly fee
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!