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
puteri [66]
2 years ago
8

Lin and Tyler are drawing circles. Tyler’s circle has twice the diameter of Lin’s circle. Tyler thinks that his circle will have

twice the area of Lin’s circle as well. Do you agree with Tyler?
Mathematics
2 answers:
earnstyle [38]2 years ago
6 0
The answer would be No

Please thank
tatuchka [14]2 years ago
5 0

Answer:

No, tyler is wrong, his circle´s area has  four times the Lin’s circle area.

Step-by-step explanation:

Hello

Let's remember this about a circle

the area is given by:

A=\pi r^{2}

where r is the radius

and the diameter

D=2r\\isolating \ x\\r=\frac{D}{2}\\

Step 1

according to the question Tyler’s circle has twice the diameter of Lin’s circle,in other terms

Let

Tylers \ diameter\ (D_{1})  =2\ times\ Lins\ circle(D_{2})\\\\

D_{1}=2D_{2}

Step 2

find the areas

Area of Tyler’s circle

A_{1}=\pi  *r_{1} ^{2}

replacing

let r_{1}= Tyler’s circle radius

r_{1}=\frac{D_{1} }{2}  \\A_{1}=\pi  *r_{1} ^{2}\\A_{1}=\pi  *(\frac{D_{1} }{2})^{2}\\A_{1}=\pi *\frac{D_{1}^{2} }{4}

let\ r_{2}= Lin\ circle\ radiusr_{2}=\frac{D_{2} }{2}  \\A_{2}=\pi  *r_{2} ^{2}\\A_{2}=\pi  *(\frac{D_{2} }{2} )^{2}\\A_{2}=\pi *\frac{D_{2}^{2} }{4}\\\\

Now, from

D_{1}=2D_{2}\\so\\\D_{2}=\frac{D_{1} }{2}  \\

replacing

A_{2}=\pi *\frac{D_{2}^{2} }{4}\\A_{2}=\pi *\frac{(\frac{D_{1} }{2}) ^{2} }{4}\\\\\\

step 3

compare the areas

A_{1}=\pi *\frac{D_{1}^{2} }{4}\  and\ A_{2}= \pi *\frac{D_{1}^{2}}{16}\\\frac{A_{1}}{A_{2}} =\frac{\pi *\frac{D_{1}^{2} }{4}}{ \pi *\frac{D_{1}^{2}}{16}}\\\frac{A_{1}}{A_{2}} =4\\hence\\A_{1}=4 A_{2}

this means that  tyler is wrong, his circle´s area has  four times the Lin’s circle area.

Have a great day

You might be interested in
What’s the definition of input and output?
Vika [28.1K]

Input is the same as the x-term and output is the same as the y-term.

For example, take a look at the image provided with thee table.

Looking at the first box of our table, notice that if we subtract 5 from 1, we get -4 and if we subtract 5 from 2 we get -3 and if we subtract 5 from 3, we get -2.  Notice that in each case, we're subtracting 5 from the input to get the output.

I attached a table so you can practice if you'd like to. All you have to do is subtract 5 from each input and you will end up with the output. The first few are done for you. I also provided an answer key in the next image so you can check your work.

The last one might be a little trick. In the input, we have n which is a variable that represents any number. If we want to find the nth term, we simply subtract 5. So we have n - 5.

First image is practice if you'd like and the second is the key.

If you don't want to do it, no worries.

4 0
3 years ago
Read 2 more answers
What is the simplest form of expression?<br> sqrt 3 - sqrt 6<br> over<br> sqrt 3 + sqrt 6
andrew11 [14]
It's in a decimal form
3 0
3 years ago
Read 2 more answers
Shonda painted 3 walls in her home. She used 3/4 of her paint. She used the same amount of paint on each wall. How much of her p
tensa zangetsu [6.8K]
The answer is 1/4 because she used 3/4 of the paint on 3 out of 4 walls.
3 0
3 years ago
PLEASE HELPP ** attachmeents provided
gladu [14]

Answer:

the answer is A

Step-by-step explanation:

hope it helps ♡

6 0
2 years ago
Read 2 more answers
Find the missing side. Round to the nearest tenth.
Lubov Fominskaja [6]

Answer:

y = 40

x = 70

Step-by-step explanation:

y = tan39° × 57

y = 46,16

y = 40

x= 57/ cos39°

x= 73,35

x =70

7 0
3 years ago
Other questions:
  • The figure shows the blueprint that a contractor uses to design ice-skating rinks. Which expression gives the area of the specta
    8·2 answers
  • Find the zero of the function f(x) =-3x + 1
    9·1 answer
  • What is the multiplicative inverse of 37/53 ?
    12·2 answers
  • Find m∠LKE. m∠LKJ = 150° m∠LKE = (x + 32)° m∠EKJ = (x + 94)° A) 40° B) 44° C) 46° Eliminate D) 48°
    6·2 answers
  • Alan bought 20 yards of fencing. he used 5.9 yards to surround one flower garden and 10.3 yards to surround another garden.write
    11·2 answers
  • Juan is going to a school where tuition is $5,000 per year. He has a scholarship that pays 60% of his tuition. He has a grant fo
    15·1 answer
  • (a + b)(a^2 - ab + b^2)
    10·2 answers
  • What number must you add to complete the square for x^2 + 4x = 15 ?
    8·1 answer
  • Which expression is equivalent to 4/9 (2n - 3n)
    11·2 answers
  • A rectangle has an area of 24 cm. Function f gives the length of the rectangle, in centimeters,
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!