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
Gnoma [55]
3 years ago
11

Juan wants to know the cross-sectional area of a circular pipe. He measures the diameter which he finds, to the nearest millimet

er, to be 5 centimeters.
To find the area of the circle, Juan uses the formula where A is the area of the circle and r is its radius. He uses 3.14 for π. What value does Juan get for the area of the circle? Make sure you include your units.
Mathematics
1 answer:
Zanzabum3 years ago
3 0

Answer:

Step-by-step explanation:

Hi there,

To get started, recall the area of a bound circle formula:

A = \pi r^{2}    where r is radius of the circle. However, Juan used an approximate value of π, 3.14. So for our purposes, the formula becomes:

A= (3.14)r^{2}

Juan measured the circle's <em>diameter</em>, so we can find radius from diameter first. Radius is simply twice the length of the diameter; from one circle endpoint to the center, to the endpoint across, making a straight line:

d=2r ⇒ r=\frac{d}{2} = \frac{5 \ cm}{2}  = 2.5 \ cm

Now plug in to obtain area:

A = (3.14)(2.5 cm)^{2} =19.625 \ cm^{2}

The area is 19.265 centimetres squared.

Cross-sections are the area shapes when you cut through a 3D volume; if you cut through a pipe perpendicular to where it flows, you can see it is a circle! If you cut straight through a cube, it would be a square, etc.

If you liked this solution, hit Thanks or give a Rating!

thanks,

You might be interested in
The expression, involving exponents , to represent the shaded area, in square inches, diagram. Then use that expression to calcu
mart [117]

Answer:

The shaded area is 23\ in^{2}

Step-by-step explanation:

we know that

The shaded area is equal to the area of the large square minus the area of the two smaller squares

so

A=6^{2} -(3^{2} +2^{2})\\ \\ A=(2*3)^{2} -(3^{2} +2^{2})\\ \\A=(2^{2})(3^{2}) -(3^{2} +2^{2})

Calculate the shaded area

Remember that

3^{2}=9\\ 2^{2}=4

substitute

A=(4)(9) -(9 +4)\\ \\A=36-13\\ \\A=23\ in^{2}

5 0
3 years ago
Help me please with the steps on how you can find the number of solutions or zeros with these questions!
arsen [322]

Answer:

2x²+5x-9=0

using quadratic formula

a=2 b=5 c=-9

x=[-5±√5²-4(2)(-9)]/2(2)

x=[-5±√97]/4

the zeros are( -5±√97)/4

6 0
3 years ago
What’s the distance between (-9,-3) and y=x-6
jeyben [28]

hopefully this will help :)

8 0
3 years ago
In the given figure, find ∠PQS, if∠PQR = 5x + 25 and∠SQR = 2x + 10.
kramer

Answer:

∠PQS= 3(x +5)

Step-by-step explanation:

∠PQR = 5x + 25

∠SQR+∠PQS= 5x+25

∠PQS = ∠PQR-∠SQR

∠PQS= (5x + 25 )-(2x + 10)

∠PQS = 5x+25 -2x-10

∠PQS= 3x +15

∠PQS= 3(x +5)

3 0
3 years ago
Help Me Find The X Please
Papessa [141]

Answer:

x = 16

y = 16 sqrt(3)

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp/hyp

sin 60 = y/ 32

Multiply each side by 32

32 sin 60 = y

32 ( sqrt(3) /2) = y

16 sqrt(2)

cos theta = adj/ hyp

cos 60 = x /32

32 cos 60 = x

32 (1/2) =x

16 =x

4 0
2 years ago
Read 2 more answers
Other questions:
  • Stephen is 2 years older than Sushil. krutika is 4 years younger than Sushil. If the total of their ages is 61, how old is the e
    9·2 answers
  • A sauce recipe uses 4 cans of tomatoes in every 2/12 quarts. How many cans of tomatoes are used in each quart of the sauce?
    6·1 answer
  • Combined with the equation −9x + 3y = 12 creates a system of linear equations with no solution? Select one: A. 18x - 6y = 20 B.
    9·1 answer
  • The sum of -6 times a number and 17 is greater than or equal to -7( will get 15 points)
    10·1 answer
  • The answer cause i’m stupid and plus we haven’t learnt this yet soooooo help please &amp; thank you
    14·1 answer
  • Give the equation of the line through the point ( - 10,9) with a slope of -1/5
    7·1 answer
  • £40,000 is invested at 8% p.a. If interest is
    15·1 answer
  • You start driving west for 3 miles, turn right, and drive north for another 11 miles. At
    10·2 answers
  • Find the value of x.​
    8·1 answer
  • What is the total amount paid for a $60 meal with a 15% tip and 8% tax?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!