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
avanturin [10]
3 years ago
12

A circle's radius is increased by 10%. By what percentage does its area increase

Mathematics
1 answer:
Vladimir79 [104]3 years ago
4 0
Answer: 21%

Explanation: Let the radius of the circle =R therefore area of the circle = [pi][R * R]
Radius of the circle after 10% increase =R+10% of R=R+R/10=11R/10
Therefore AREA of the circle with radius 11R/10 =[pi][11R/10*11R/10]=[pi][121R*R/100] Hence INCREASE in the AREA of the circle=[pi][121R*R/100]-[pi][R*R] =[pi] [R*R][121/100-1] =[pi][R*R][121-100]/100=[pi][R*R][21]/100 THEREFORE % increase in the area of the circle=[pi][R*R][21/100]/[pi][R*R] whole multiplied by 100=21 HENCE increase in the area of the circle =21% NOTE : pi is a constant whose value=22/7
You might be interested in
Which of the students found the correct value of their expression? Select all that are true. None of the students Student 2 Stud
Mariulka [41]

Answer:

Step-by-step explanation:

Student 2 and student 1

6 0
2 years ago
7. y-2 = (x+3)<br> 4<br> 2<br> X<br> - TO<br> 12<br> 4
drek231 [11]

Answer:

y = -24 + -2x + 2x2

Step-by-step explanation:

Simplifying:

y = 2(x + 3)(x + -4)

reorder the terms:

y = 2(3 + x)(x + -4)

multiply (3 + x) * (-4 + x)

y = 2(3(-4 + x) + x(-4 + x))

y = 2((-4 * 3 + x * 3) + x(-4 + x))

y = 2((-12 + 3x) + x(-4 + x))

y = 2(-12 + 3x + (-4 * x + x * x))

y = 2(-12 + 3x + (-4x + x2))

Combine like terms  3x + -4x = -1x

y = 2(-12 + -1x + x2)

y = (-12 * 2 + -1x * 2 + x2 * 2)

y = (-24 + -2x + 2x2)

Solving:

y = -24 + -2x + 2x2

solving for variable 'y'

Move all terms containing y to the left, all other terms to the right.

Simplifying:

y = -24 + -2x + 2x2

8 0
2 years ago
Calcular en cuanto se convertira, un capital de $15,500 en 8 meses al 6.5%
dybincka [34]
En algunos bancos, cuentas de ahorro o incluso en prestamos y empeños podemos observar que se cobra un interés mensual. Esto no significa que todos los intereses deban ser así.

El periodo, es el tiempo en el que se aplica el interés, este puede ser anual, mensual, semanal, o incluso por día.
8 0
2 years ago
What is the value of x in the equation 4x + 8y=40 when y=0.8
Fed [463]
8*.8=6.4 
4x+6.4=40
40-6.4=33.6
33.6/4=x
8.4=x

Hope this helps :)
8 0
3 years ago
Read 2 more answers
Find x such that -1/3 = 7/x
Setler [38]

Answer:

x= -21

Step-by-step explanation:

-1/3=7/x

-1x=21

-1x/-1=21/-1

x= -21

7 0
2 years ago
Other questions:
  • The area of each circle
    9·1 answer
  • B) 4(-3) + 15 - 2010 - 7)?
    13·1 answer
  • The sum of four times a number and 18 is the same as the difference of fourteen and twice a number
    7·1 answer
  • Anyone knows how to solve -6(-5x-3)-5x+17?
    14·1 answer
  • I need help,please.this is an interior angle problem.
    13·1 answer
  • A(b - 4) + c(b - 4)<br>can someone help me please!!!​
    6·2 answers
  • PLEASE HELP ASAPPPP!
    10·1 answer
  • What are the solutions to 3n-1 &gt; 8 or 4n+ 3 ​
    11·2 answers
  • Estimate the perimeter and area of the shaded figure to the nearest tenth.
    15·1 answer
  • If x = -7, evaluate the following expression:<br><br> (x − 2)(x+14)<br> ——————-<br> x(x + 8)
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!