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
svlad2 [7]
3 years ago
11

A square fits exactly inside a circle with each of its vertices being on the circumference of the circle

Mathematics
1 answer:
Karo-lina-s [1.5K]3 years ago
4 0
Draw or sketch out any problems like this, otherwise they appear abstract.

A circle’s area can be calculated by (pi d^2)/4 We have an area of 56 cm (^2?), so

pi d^2 = 56 x 4 (or 224) d^2 = 224/pi, d = √(224/pi)

A circle circumscribed around a square has a diameter equivalent to the length of the square’s diagonal, so the square’s diagonal is √(224/pi) (same as the circle diameter…)

A square’s side can be calculated, knowing its diagonal length, by use of Pythagoras’ theorem… The diagonal √(224/pi) is squared, divided by two, since the square’s sides are all equal, and the resulting number’s square root is calculated.

Squaring √(224/pi), we get 224/pi, and dividing by two, we get 112/pi, which is 35.6507 (cm^2), and the square root is 5.9708 cm, the side of the square.

I cannot emphasize enough that a drawing or sketch is an invaluable tool for these tasks, it saves having to retain a “picture” in your head. Note that a calculator was not required up until the last moment, dividing 112 by pi, and finding the square root of that answer. Picking up the calculator too early obliges you to transcribe numbers from the calculator to paper, and that can lead to issues. Try to enjoy maths, see it as a challenge not a chore. (and use correct units!)
2.3K views
Related Questions (More Answers Below)
You might be interested in
Jim has $4,200 in his checking account to pay his rent. Each month, $600 is taken out of the account
Allushta [10]

Answer:4200-600m=1800

Step-by-step explanation:

4200-600m=1800

Subtract 4200 from 1800

-600m=-3600

Divide both sides by -600

m=6

5 0
3 years ago
What percent of a foot is in 3 inches.; 4 inches.; 6 inches.; 9 inches. ? 3 inches is _% of a foot 4 inches is _% of a foot 6 in
Aleksandr-060686 [28]

Answer:

3 inches is 25 percent of a foot

4 inches is 33.33 percent of a foot

6 inches is 50 percent of a foot

9 inches is 75 percent of a foot

Step-by-step explanation:

The first thing we need to do to solve this problem is to convert our measurements in feet to inches.

1 foot = 12 inches

we can now find our percentage with ease since we are now making comparisons, using the same unit of measurement as a reference.

To get the percentage of which 3 is of 12, we simply perform the following operation: We divide 3 by 12 then multiply it by a hundred percent.

(3/12) X 100 = 25 percent.

3 inches is 25 percent of a foot

Similarly,

4 inches = (4/12) X 100 = 33.33 percent of a foot

6 inches =(6/12) X 100 = 50 percent of a foot

9 inches = (9/12) X 100 = 75 percent of a foot

3 0
3 years ago
The double number lines show the ratio of minutes to days.
lianna [129]
2880 minutes are in 2 days
5 0
3 years ago
Read 2 more answers
Philip
Zigmanuir [339]

*seed attachment for diagram

Answer:

83°

Step-by-step explanation:

Given:

Philip = (8x + 12)°

Matt = (55 - 3x)°

George = (10x + 23)°

Required:

Measure of angle at George's position

SOLUTION:

Find the value of x

(8x + 12)° + (55 - 3x)° + (10x + 23)° = 180° (sum of the interior angles of a ∆)

8x + 12 + 55 - 3x + 10x + 23 = 180

Add like terms

15x + 90 = 180

15x = 180 - 90 (subtraction property of equality)

15x = 90

x = 90/15 (division property of equality)

x = 6

✔️George = (10x + 23)°

Plug in the value of x

George = 10(6) + 23 = 60 + 23

= 83°

3 0
3 years ago
Read 2 more answers
A shadow 16 meters long is cast by a fir tree that is 30 meters tall. What is the length of the shadow cast by a nearby sailboat
sveticcg [70]

The sailboats shadow will be 8 meters tall

6 0
3 years ago
Other questions:
  • Prove, using the method of bijections, that the number of subsets of [n] that consist of an odd number of elements is the same a
    9·1 answer
  • Describe in words a sequence of transformations that maps ABC to A'B'C'
    14·1 answer
  • 100) 4030<br> What’s the greatest common factor
    12·1 answer
  • 8. What's the GCF of *<br> (1 Point)<br> 4x2 - 6x + 8
    14·1 answer
  • Lul JAJAJAJJAJAJKJSAHDKJHWAKJSHD
    9·1 answer
  • Using the Proportion to Find a Missing Measure
    15·1 answer
  • Fraction 2 1/3 ÷ 1/4​
    10·2 answers
  • WILL EARN BRAINLIEST! [Rate of Functions]
    5·1 answer
  • A large rectangular office measures 9 yards by 15 yards. What is the area of the office?
    8·2 answers
  • Taylor has 9 yards of ribbon to make bows. Each bow is made from a piece of ribbon
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!