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
Brums [2.3K]
2 years ago
14

A circle is circumscribed around a square and another circle is inscribed in the square. If the area of the square is 9 in2, wha

t is the ratio of the circumference of the circumscribed circle to the one of the inscribed?

Mathematics
1 answer:
lesantik [10]2 years ago
8 0

Answer:

√2:1

Step-by-step explanation:

First we need to know that the length of the side of the square is equal to the diameter of the inscribed circle i.e

L = di

Given the area of the square to be 9in², we can get the length of the square.

Area of a square = L²

L is the length of the square.

9 = L²

L = √9

L = 3in

Hence the length of one side of the square is 3in

This means that the diameter of the inscribed circle di is also 3in.

Circumference of a circle = π×diameter of the circle(di)

Circumference of inscribed circle = π×3

= 3π in

For the circumscribed circumscribed circle, diameter of the outer circle will be equivalent to the diagonal of the square.

To get the diagonal d0, we will apply the Pythagoras theorem.

d0² = L²+L²

d0² = 3²+3²

d0² = 9+9

d0² = 18

d0 = √18

d0 = √9×√2

d0 = 3√2 in

Hence the diameter of the circumscribed circle (d0) is 3√2 in

Circumference of the circumscribed circle = πd0

= π(3√2)

= 3√2 π in

Hence, ratio of the circumference of the circumscribed circle to the one of the inscribed will be 3√2 π/3π = √2:1

You might be interested in
There are 140 apples for every 91 cups of water how many apples are needed for every 1 cup of water
podryga [215]

Answer:

The number of apple for 1 cup of water is 1.5 apples

Step-by-step explanation:

Given as :

The number of cups of water = 91 cups

The number of apples for every 91 cups of water = 140

Let The number of apple for 1 cup of water = n

<u>Now, From unitary method :</u>

∵ For every 91 cups of water , the number of apple needed = 140

∴ For every 1 cup of water , the number of apple needed = \frac{140}{91}

I.e n =  \frac{140}{91}

or, n = 1.5 apples

The number of apple for 1 cup of water = n = 1.5 apples

Hence The number of apple for 1 cup of water is 1.5 apples Answer

5 0
2 years ago
Find the slope of the line.
rewona [7]

Answer:

5/6

Step-by-step explanation:

Remember your rise over run!

2.5/3 = 5/6

3 0
2 years ago
Read 2 more answers
Which equation below represents exponential decay?
8_murik_8 [283]

C. y=2(1/4)^x

B is just a linear functions and the other two aren't exponential functions

8 0
3 years ago
Enter the numerator and the denominator of the fraction in simplest form that is equal to 0.7 repeating
valentinak56 [21]

Answer:

\frac{7}{9\\}

Step-by-step explanation:

8 0
1 year ago
The height of a triangle is 15cm, the base is 40cm and the other two side are 25cm.
morpeh [17]
The formula for the area of a triangle is base*height/2. So lets input the number.

15*40=600/2=300 cm2
6 0
3 years ago
Other questions:
  • The perimeter of a rectangular garden is 160 m and its width is 30 m. Find the cost of leveling it at the rate of $2.50 per sq.m
    13·1 answer
  • Find the missing numbre
    13·1 answer
  • Given these numbers: 42, 36, 28, 27, 39, 16, 52, 54, 100, 85. Which of the numbers are:
    11·1 answer
  • The circumference of a circle that has a radius of 7cm. use 3.14. for pie
    13·1 answer
  • Fiona is playing fetch with her dog. She is standing at the coordinate point (7, - 5). When she throws the stick, it lands at th
    15·1 answer
  • What are the solutions of the equation
    5·1 answer
  • Leonard had some video games. He loaned 12 to Cody. Now he has
    15·1 answer
  • Which expression has the least value when x = 100<br><br>A. 1/x<br>B. 10/x<br>C. 1-x<br>D. 10-x​
    6·1 answer
  • Please helppppp. geometry hw !!
    10·1 answer
  • ASAP!!! PLEASE HELPPP!!Write an equation for the following sentence, then solve for the unknown value.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!