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
harina [27]
2 years ago
7

How long is the arc intersected by a central angle of StartFraction 5 pi Over 3 EndFraction radians in a circle with a radius of

2 ft? Round your answer to the nearest tenth. Use 3. 14 for Pi. 2. 6 ft 7. 0 ft 10. 5 ft 31. 4 ft.
Mathematics
1 answer:
qaws [65]2 years ago
5 0

The length of the arc of the circle with a radius of 2 ft and the angle made at the centre equal to \dfrac{5\pi}{3} is 10.5ft.

<h3>What is the length of the arc of a circle?</h3>

The length of the arc of a circle is equal to the product of the circumference of the circle and the ratio of the angle made by the arc of the circle to 2π. It is given by the formula,

\text{Length of the arc}= 2\pi r\times \dfrac{\theta}{2\pi}

It is given that the radius of the circle is equal to 2 ft while the angle made by the arc at the centre of the circle is equal to \dfrac{5\pi}{3}. And we know the formula for the length of the arc, therefore, the length of the arc,

\text{Length of the arc}= 2\pi r\times \dfrac{\theta}{2\pi}

                            = 2\pi \times 2 \times \dfrac{\frac{5\pi}{3}}{2\pi}\\\\= 10.471 \approx 10.5\rm\  ft

Hence, the length of the arc of the circle with a radius of 2 ft and the angle made at the centre equal to \dfrac{5\pi}{3} is 10.5ft.

Learn more about the Length of the Arc of a Circle:

brainly.com/question/1577784

You might be interested in
Osama starts with a population of 1,000 amoebas that increases 30% in size every hour for a number of hours, h. The expression 1
creativ13 [48]
The correct answer is 4090
5 0
2 years ago
Write the following numbers correct to one significant figure a) 7682 b)0.07682
malfutka [58]

Answer:

a) 8 x 10^3 or 8000

b) 8 x 10^-2 or .08

Explanation: Refer to a guide on rounding sig figs

3 0
3 years ago
In geometry, how do defined terms and undefined terms relate to each other
inysia [295]
<span> </span>
<span><span><span>In geometry, how do defined terms and undefined terms relate to each other? 
</span><span><span>Ask for details </span> <span>Follow </span> Report</span> <span>by <span>Da5ncing4bearnelogi </span>05.08.2016</span></span>Answers<span><span>Hussain514 </span> Ambitious</span>In geometry, definitions are formed using known words or terms to describe a new word. There are three words in geometry that are not formally defined. These three undefined terms are point, line and plane. 

POINT (an undefined term) 
In geometry, a point has no dimension (actual size). Even though we represent a point with a dot, the point has no length, width, or thickness. A point is usually named with a capital letter. In the coordinate plane, a point is named by an ordered pair, (x,y). 

LINE (an undefined term) 
In geometry, a line has no thickness but its length extends in one dimension and goes on forever in both directions. A line is depicted to be a straight line with two arrowheads indicating that the line extends without end in two directions. A line is named by a single lowercase written letter or by two points on the line with an arrow drawn above them. 

PLANE (an undefined term) 
In geometry, a plane has no thickness but extends indefinitely in all directions. Planes are usually represented by a shape that looks like a tabletop or wall. Even though the diagram of a plane has edges, you must remember that the plane has no boundaries. A plane is named by a single letter (plane m) or by three non-collinear points (plane ABC). 

Undefined terms can be combined to define other terms. Noncollinear points, for example, are points that do not lie on the same line. A line segment is the portion of a line that includes two particular points and all points that lie between them, while a ray is the portion of a line that includes a particular point, called the end point, and all points extending infinitely to one side of the end point. 

Defined terms can be combined with each other and with undefined terms to define still more terms. An angle, for example, is a combination of two different rays or line segments that share a single end point. Similarly, a triangle is composed of three noncollinear points and the line segments that lie between them. 

Everything else builds on these and adds more information to this base. Those added things include all the theorems and other "defined" terms like parallelogram or acute angle. <span>
</span></span>
3 0
3 years ago
If P and S are rational numbers and R and Q are irrational numbers, which of these statements is true?
Varvara68 [4.7K]

Answer: B. The product of P and S is always a rational number.

Step-by-step explanation: The product AND sum of two rational numbers will ALWAYS be rational.

8 0
3 years ago
I need help with photo bellow​
nataly862011 [7]

Answer: 9/15 is sinP

Tangent= opp/adj

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • If a car is traveling at 70 mph, how fast is the car traveling in feet per second? Round to 2 decimal places. (Reminder: there a
    14·1 answer
  • How to find surface area​
    11·2 answers
  • WILL POSSIBLY MARK BRAINLIEST IF GOOD ANSWER!!!
    9·1 answer
  • mr burns class is taking a field trip to the planetarium. The trip will cost $27 for each student. There are 18 students in his
    14·2 answers
  • What is the solution of the system? Use the elimination method. 2x+y=20 6x?5y=12
    8·2 answers
  • IN URGENT NEED OF HELP. PLEASE HELP.
    14·1 answer
  • Whatssssssssss uppppppppppppppp
    11·2 answers
  • PLSS HELP ASP Nick bought raffle tickets to try to win a prize. He paid $3.00 for $12 tickets.
    8·2 answers
  • The Greatest Common Factor (GCF) of 24, 36, and 48 is O A. 2 O B. 24 O C. 12 O D. 6​
    6·2 answers
  • Which statements are true about points A, B, and C? check all that apply.​
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!