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
Savatey [412]
3 years ago
11

A square is inscribed in a circle . If the area of the square is 9 inch square what is the ratio of the radius of the circle to

the side of the square.
Mathematics
1 answer:
OLga [1]3 years ago
7 0

Answer:

  (√2)/2

Step-by-step explanation:

The ratio of the radius of the circle to the side of the inscribed square is the same regardless of the size of the objects.

The radius of the circle is half the length of the diagonal of the square. For simplicity, we can call the side of the square 1, so its diagonal is √(1²+1²) = √2 by the Pythagorean theorem. The radius is half that value, so is (√2)/2. The desired ratio is this value divided by 1.

Scaling up our unit square to one with a side length of 3 inches, we have ...

  radius/side = ((3√2)/2) / 3 = (√2)/2

_____

A square with a side length of 3 inches will have an area of (3 in)² = 9 in².

You might be interested in
Will give brainless if solved
wel

Answer:

1. 70  2. 85  3. 63  4. 20  5. They are vertical angles

Step-by-step explanation:

6 0
3 years ago
Given the points (9,9) and (-6, -10) find the slope.<br><br> m =
Ivanshal [37]

1. Observe question

2. Employ Point-Slope formula

(y2 - y1)/(x2 - x1 )=

(-10-9)/(-6-9) =

-19/-15=

19/15

Slope: 19/15

5 0
2 years ago
Read 2 more answers
Find the area of a circle with radius 5mm, rounded to the nearest tenth. A. 15.7mm2 B. 31.4mm2 C. 78.5mm2 D. 246.7mm2
icang [17]
1. The Formula to getting the area of a circle is pi r^2= 3.14 times the radius squared. Plug in the number given in the question to get your answer.
2. The Circumference formula is 2pir which is 2 time 3.14 times the radius given. Plug in the number to get your answer.
3. This one is giving you the diameter, therefore you need to divide the diameter by 2 to get the radius (diameter is twice the size of radius) and plug in the radius into the first formula (3.14 times r^2) to get your answer.
8 0
3 years ago
Please help me thank you. 16 points and show all work.
Solnce55 [7]

magnitude = sqrt(6^2+4^2)

= sqrt ( 36+16)

=sqrt (52) = 7.2


angle = tan^-1(6/4) = 56 degrees


5 0
3 years ago
ANSWER THIS CORRECTLY 20 POINTS
Vinil7 [7]

Answer: she is 60 years old because 48+12=60 yrs old now

3 0
3 years ago
Read 2 more answers
Other questions:
  • How many inches are represented by 5 degrees on the rim of a 16-inch diameter flywheel
    10·1 answer
  • Zoe wants to make a driveway.
    14·1 answer
  • Which inequality models this problem? Josephine started a business selling cosmetics. She spent $4500 to obtain her merchandise,
    9·2 answers
  • What is the next term of the geometric sequence?<br> 54,36,24...
    14·1 answer
  • A motorboat has a four hour supply of gasoline. How far from the marina can it travel if the rate going out against the current
    9·1 answer
  • Please help, 15 points + brainliest!
    9·2 answers
  • Find the common difference for the following sequence and fill in the missing terms. Show all calculations. -12, __, 10, __, 32,
    10·2 answers
  • How do you calculate the derivative of y with respect to x on the equation x^3y+3xy^3=x+y?
    9·1 answer
  • omg hey, so im doing my maths homework and there are 7 numbers. 3 9 3 5 7 6 1... 3 of these numbers have a mean of 6. which ones
    9·1 answer
  • Please Help Me, I need an answer ASAP.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!