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
zzz [600]
2 years ago
14

Find the area of the region between two concentric circular paths. If the radii of the circular paths are 210 m. and 490 m. resp

ectively.​
Mathematics
1 answer:
taurus [48]2 years ago
6 0

Given :

  • The radii of the circular paths are 210 m. and 490 m.

To Find :

  • The area of the region between two concentric circular paths.

Solution :

Area of the outer circle :

\: \qquad  \dashrightarrow \sf{{ \pi \: \times  {(490)}^{2}  {m}^{2}}}

\: \qquad  \dashrightarrow \sf{{ \ \dfrac{22}{7} \times   \:490 \times 490 \:  {m}^{2}}}

\: \qquad  \dashrightarrow \sf{{ \ \dfrac{22}{ \cancel{7}} \times   \cancel{490} \times 490 \:  {m}^{2}}}

\: \qquad  \dashrightarrow \sf{{ \ {22} \times   70 \times 490 \:  {m}^{2}}}

\: \qquad  \dashrightarrow \bf{{ \ 754600 \:  {m}^{2}}}

⠀

Area of the inner circle :

\: \qquad  \dashrightarrow \sf{{ \pi \: \times  {(210)}^{2}  {m}^{2}}}

\: \qquad  \dashrightarrow \sf{{ \ \dfrac{22}{7} \times   \:210 \times 210 \:  {m}^{2}}}

\: \qquad  \dashrightarrow \sf{{ \ \dfrac{22}{ \cancel{7}} \times   \cancel{210} \times 210 \:  {m}^{2}}}

\: \qquad  \dashrightarrow \sf{{ \ {22} \times   30 \times 210 \:  {m}^{2}}}

\: \qquad  \dashrightarrow \bf{{ \ 138600 \:  {m}^{2}}}

⠀

Therefore,

Area of the region inside the circular paths :

\: \qquad  \dashrightarrow \sf{{ \ (754600 - 138600  )  \: {m}^{2}}}

\: \qquad  \dashrightarrow \bf{{ \ 616000 \:  {m}^{2}}}

You might be interested in
Which symbol can be placed in the box to make this number sentence true?64 (13 – 5) + 8 = 16
Mkey [24]
Where would the box go?

5 0
3 years ago
A video rental store charges a $20 membership fee and $2.50 for each video rented. If 15 videos are rented what is the revenue?
Rama09 [41]
67.50 divided by 2.50 = 27,
So 27 videos were rented, hope this helps!
3 0
2 years ago
?
alexgriva [62]

Answer:

16 the answer is 1, 4, 5, 6, yeah good answer

5 0
2 years ago
Malcom has a gift card with a 150$ balance. He buys several video games that cost 35$ each.after purchases his gift card balance
skad [1K]
(150-45)/35 = the number of video games bought
3 0
3 years ago
A circle is defined by the equation given below.
tatyana61 [14]

Answer:

(1/2, 1)

2

Step-by-step explanation:

x² + y² − x − 2y − 11/4 = 0

x² − x + y² − 2y = 11/4

Complete the squares.

x² − x + 1/4 + y² − 2y + 1 = 11/4 + 1/4 + 1

(x − 1/2)² + (y − 1)² = 4

The center of the circle is (1/2, 1) and the radius of the circle is 2.

5 0
3 years ago
Other questions:
  • I don’t know how to do this could anyone explain and help please
    14·1 answer
  • Solve -x^2(x-2)(x-5)^3
    6·1 answer
  • What are the coordinates of the center of a circle whose equation is (x + 7)2 + (y – 5)2 = 16?
    15·1 answer
  • Which of the following correctly expresses the number in scientific notation 645,000,000
    5·1 answer
  • I need to solve this equation: x-2/(x-3)=(x-1)/(3-x)
    6·2 answers
  • 6. The graphs of y, = 0.2(25X-40) and y2 = 4(0.5x+1.75) are shown on the coordinate grid.
    7·1 answer
  • I need help asap <br> PLEASE HELP
    12·2 answers
  • PROBABILTY- Could you help me please?
    13·1 answer
  • Three numbers are in the ratio 1:2:3 and the sum of their cubes is 4500. Find the numbers​
    5·1 answer
  • HELLO CAN SOMEONE PLEASE ANSWER THIS QUESTION FOR ME I WILL MARK YOU THE BRAINLIEST AND I WILL GIVE YOU 5 STARS​
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!