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
klemol [59]
2 years ago
5

Solve this.....................

Mathematics
2 answers:
Masja [62]2 years ago
8 0

Answer:

<u>10 + 3π cm</u>

Step-by-step explanation:

In the given figure,

  • Radius of arc/circle = 6 cm
  • Length + width of rectangle = 8 cm

Here, we are asked to find the perimeter of the shaded figure, i.e, SA + AC + CT + Arc SBT.

The perimeter of arc SBT can be found using the formula 2πr/4 [Given ⟶ arc SBT = quarter (¼) of a circle].

So,

2πr/4

= 2π(6)/4

= 12π/4

= <u>3π cm</u>

Now, from the figure..

SA + AC + CT

= (SR - AR) + AC + (RT - RC)

By, rearranging the terms...

= SR + AC + RT  - (AR + RC) ---------> (1)

Again, from the figure, we can see that,

  • SR = RT = 6 cm (radii of the same circle)
  • AC = RB = 6 cm (radii of the same circle)
  • AR + RC = 8 cm (length + width of rectangle)

So, by substituting these values in (1)

SR + AC + RT  - (AR + RC)

= 6 + 6 + 6 - (8)

= 18 - 8

= <u>10 cm</u>

And, the perimeter of the shade figure is,

SA + AC + CT + Arc SBT.

= \boxed{\tt\:10 + 3\pi \: cm}

_________

Hope it helps!

\mathfrak{Lucazz}

scoray [572]2 years ago
5 0

Answer:

  • 10 + 3π units

Step-by-step explanation:

<u>Take into account that:</u>

  • AC = RB as diagonals of rectangle ABCR

<u>Since R is the center and B is on the circle we have:</u>

  • AC = r = 6 units

<u>The arc SBT is the quarter of the length of circle:</u>

  • SBT = 1/4*2πr = 1/2*6π = 3π units

<u>Find the sum of SA and CT:</u>

  • SA + AR = 6 ⇒ SA = 6 - AR
  • CT + RC = 6 ⇒ CT = 6 - RC
  • SA + CT = 6 - AR + 6 - RC = 12 - (AR + RC) = 12 - 8 = 4 units

<u>So the perimeter of shaded zone is:</u>

  • P = 6 + 3π + 4 = 10 + 3π units
You might be interested in
A marketing company surveys 100 males and 100 females between the ages of 55 and 70 to determine how many times they text each d
KiRa [710]

Answer:

Answer: I believe that A is the correct answer.

On average, females text more than males.

Step-by-step explanation:

3 0
3 years ago
Its 6 ya'll if you think it no it 6
snow_lady [41]

Answer:

HUH? What do you mean about that?

7 0
2 years ago
A piano has 52 white keys. Write and use an equation to find the number of octaves on a piano keyboard.
Firdavs [7]
There are 7 keys in each octave (C,D,E,F,G,A and B) so it would make sense to divide 52 to 7.
52/7=7 octaves and 3 extra kets
3 0
3 years ago
Please help!!!!!!!!!!!!
8090 [49]
M = - 1

- 2 = - 1 ( 2 ) + c
- 2 = - 2 + c
c = 0
y = - x
6 0
2 years ago
Out of the thirty
labwork [276]

Answer:

She answered 76 percent of the question correct.

Step-by-step explanation:

Convert fraction (ratio) 23 / 30 Answer: 76.6%

8 0
3 years ago
Other questions:
  • Jake went on a road trip with his family this summer. On Monday, they drove 629 miles. Tuesday, they drove 215 miles. On Wednesd
    14·2 answers
  • What is the distance between the points (−5, 10) and (−5, 2) ?
    13·2 answers
  • What is the solution for the equation sinx=cosx?
    11·1 answer
  • Find 4 irrational number between 0.1 and 1.12​
    5·1 answer
  • What is the perimeter of rectangle JKLM<br> 9 units<br> 15 units<br> 18 units<br> 16 units
    5·1 answer
  • If 6x -1 = 29, what is the value of x² + x?
    11·2 answers
  • Use the zero product property to find the solutions to the equation 2x2 + x - 1 = 2
    14·1 answer
  • Please I NEED HELP
    10·1 answer
  • Solve the equation 6x+3y=3 to get it into slope-intercept form.
    12·1 answer
  • If B = { p : p is a factor of 12 } list the elements of this set and find n ( B )​
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!