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
JulijaS [17]
3 years ago
9

A circle with area \blue{25\pi}25πstart color #6495ed, 25, pi, end color #6495ed has a sector with a central angle of \purple{\d

frac{9}{10}\pi} 10 9 ​ πstart color #9d38bd, start fraction, 9, divided by, 10, end fraction, pi, end color #9d38bd radians .
Mathematics
1 answer:
vredina [299]3 years ago
3 0

Answer:

Step-by-step explanation:

Given that

The area of circle is 25π square unit

Area = 25π square unit

The area of a circle can be calculated using

Area = πr²

Where r is radius of the circle

Then, let find the radius of the circle

Area = πr²

25π = πr²

Divided Both side by π

25π / π = πr² / π

25 = r²

Take square root of both sides

√25 = √r²

5 = r

Then, the radius of the circle is 5 unit

Then, given that the angle subtended by the sector is 9π/10 rad

θ = 9π/10 rad

Then, we want to find the area of the sector

Area of a sector is calculated using

Area of sector = (θ / 360) × πr²

Area of sector = θ × πr² / 360

The formula is in degree let convert to radian

360° = 2π rad.

Then,

Area of sector = θ × πr² / 2π rad

Then,

Area of sector = θ × r² / 2

Area of sector = ½ θ•r²

Then, Area of the sector is

A = ½ θ•r²

A = ½ × (9π / 10) × 5²

A = (9π × 5²) / (2 × 10)

A = 225π / 20

A = 45π / 4

A = 11.25π Square unit

A = 35.34 square unit

You might be interested in
Camryn enlarged the size of a photo to a height of 18 inches, what is the
patriot [66]

Answer:

I'm think is 17

Step-by-step explanation:the Height of it was 18 and the original height was 2 so subtract 2 from 18 you get 16.So thy are adding 16.So 16+1=17.

4 0
3 years ago
In a department store, a $40 dress marked, "save 25%." what is the discount? what is the sales price of the dress?
Bogdan [553]

Answer:

Discount = $10

Sales Price = $30

Step-by-step explanation:

Discount

= 25% of marked price

= 25% x $40

= (25/100) x 40

= $10  

Sales price = Marked price - Discount = $40 - $10 = $30

8 0
3 years ago
What is 7x-4y-8-3x-8y+12
Maksim231197 [3]

Answer: total comes to 4X - 12Y + 4

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
3. Consider the following box plot.
forsale [732]

Answer:

2.5

Step-by-step explanation:

And Pls dont do that If you dont know dont answer

3 0
3 years ago
The equation 6x - 5y = 14 is written in standard form. Which point lies on
dimaraw [331]
Answer= H (-1, -4)

Explanation= 6(-1) - 5(-4) = 14
(-6) + (20) = 14
14=14 * it works !
GOODLUCK!
4 0
2 years ago
Other questions:
  • What is the sum of 2/5 and 2/4?
    5·2 answers
  • Don, Shuan and Monica have 5 hallways to decorate for the student council if they share the work equally how much will easch stu
    13·1 answer
  • Expand and simplify<br> (7+6y)^2
    5·1 answer
  • Is 95 - 4x greater than le less that 40 + 5x
    11·2 answers
  • Solve n – 96 &lt; –58.
    12·1 answer
  • write the slope-intercept form of the equation for the line y = –2x – 1 y = x – 1 y = x + 1 y = 2x – 1
    9·1 answer
  • Please help
    11·2 answers
  • 2x + 46 + 3x - 6<br> I forgot how to do math
    6·2 answers
  • The Osborn family goes out to dinner, and the price of the meal is $60. The sales tax on the meal is 7%, and they also want to l
    14·1 answer
  • PLZZZZZZZ HELP!!!!!!!!!! For the graph y = 1 find the slope of a line that is perpendicular to it and the slope of a line parall
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!