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
valkas [14]
3 years ago
6

A square and a circle intersect so that each side of the square contains a chord of the circle equal in length to the radius of

the circle. What is the ratio of the area of the square to the area of the circle? Express your answer as a common fractin in terms of Pie.

Mathematics
1 answer:
krek1111 [17]3 years ago
5 0

Answer:

Step-by-step explanation:

it is given that Square contains a chord of of the circle equal to the radius thus from diagram

QR=chord =radius =R

If Chord is equal to radius then triangle PQR is an equilateral Triangle

Thus QO=\frac{R}{2}=RO

In triangle PQO applying Pythagoras theorem

(PQ)^2=(PO)^2+(QO)^2

PO=\sqrt{(PQ)^2-(QO)^2}

PO=\sqrt{R^2-\frac{R^2}{4}}

PO=\frac{\sqrt{3}}{2}R

Thus length of Side of square =2PO=\sqrt{3}R

Area of square=(\sqrt{3}R)^2=3R^2

Area of Circle=\pi R^2

Ratio of square to the circle=\frac{3R^2}{\pi R^2}=\frac{3}{\pi }

You might be interested in
Interpret the 2 expressions below without evaluating them. 19-(6+6) and 19-6+6
dybincka [34]
8, 9 you basically just evaluate the equation in the parentheses 
8 0
3 years ago
Read 2 more answers
Please help me on this
ozzi

Answer:

q=371

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
I need help on my story problems 
victus00 [196]
1) 3/4 - 1/2 = 3/4 - 2/4 = 1/4. Vanessa's brothers ate half of the cake. 

2) 1.75 + 2.4 = 4.15.  6.5 - 4.15 = 2.35.  4.15 = 2.35 = 1.8.  Chad hiked 1.8 ore miles in the morning than in the afternoon. 
8 0
3 years ago
A rock is thrown from the top of a building which measures 48 foot high. The graph shows the height, y, of the rock from the gro
zlopas [31]

Answer:

D.

Step-by-step explanation:

8 0
3 years ago
Write an exponential function y = abx for a graph that includes (2, 24) and (3, 48).
labwork [276]
I think you mean y=ab^x.
First, plug in the values of x=2 and y=24 for the first equation, and x=3 and y=48 for the second one:

24 = ab^2
48 = ab^3

divide equation 2 by equation 1:
2 = b^1

or, more simply:
2 = b

now plug b into one of the equations to get "a":

24 = a*2^2
24 = a*4
6 = a

So, the answer is y = 6(2)^x
(I think you need to specify the power of x in your answers)
7 0
2 years ago
Read 2 more answers
Other questions:
  • How many tickets were sold between 12pm and 3pm?
    14·2 answers
  • The table below shows the number of pencils of different colors in a box:
    6·1 answer
  • Indicate in standard for the equation of the line passing through the given points.
    10·1 answer
  • A circle has a circumference of 133.04 units. what is the diameter of the circle
    14·2 answers
  • A circular running track is 1/4 mile long. Elena runs on this track completing each lap in 1/4 of an hour. What is Elena's runni
    11·1 answer
  • The sum of nine times a number and five is one hundred eighty-five
    13·2 answers
  • Cindy types 180 words in 2 minutes
    15·1 answer
  • Which expression is equivalent
    8·1 answer
  • True or False: The following equation is in standard form: 3x - 4y = 7 - 2x.
    5·2 answers
  • The 250 gallons of maple sap will be
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!