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
Sladkaya [172]
3 years ago
13

By what percentage must the diameter of a circle be increased to increase its area by 50%?

Mathematics
2 answers:
Ksju [112]3 years ago
7 0
The area is to be increased by 50%.

Area of the circle is given by: A = πr²

New Area = A' = A + 50% of A = 1.5 A 
Let the new radius be R.

So, we can say:

A' = πR² = 1.5 πr²
⇒

R² = 1.5r²
⇒
R = √1.5 r

This shows that the radius must be increased to square root of 1.5 times to increase the Area by 50%.

Diameter is the twice of radius, so the change in diameter will also be the same i.e square root of 1.5 times.

So, diameter must be made 1.225 times. In percentage this can expressed as 22.5%.

Hence, the answer to this question is 22.5%
katovenus [111]3 years ago
5 0
The circle increase in area will be by a factor of 1.5
So corresponding increase in the diameter will be a factor of  sqrt 1.5 = 1.2247

Answer is 22.47 %
You might be interested in
Solve the equation for a<br> 5n + 34 = -2(1 - 7n)<br> a equals
aliya0001 [1]

Answer:

n = 4

Step-by-step explanation:

Where's a or did you mean n?

5 0
4 years ago
Read 2 more answers
13) You are setting the combination on a
Andre45 [30]

Answer:

there are 9 possibilities I think

3 0
3 years ago
1. You can buy a 6-hour phone card for $5.00, but the fine print says that each minute actually costs you 1.5 minutes of time. W
Vilka [71]
Divide 5.00 by 1.5 and you get (it's pretty long) 3.3333333333333333333333333333333

7 0
3 years ago
Franklin rolls a pair of six-sided fair dice with sides numbered 1 through 6.
Zarrin [17]

Answer:

The answer is 7/36.

Step-by-step explanation:

First, you find out how many possible outcomes there are from rolling a pair of dice. On one cube, you can roll a 1,2,3,4,5, or 6; so there are 6 outcomes. Since there are two cubes, you multiply 6 by itself to get a total of 36 possible outcomes. Next, you find the probability of the sum of the numbers rolled being an even number; the possibilities are 2,4,6,8,10, or 12, which is 6/36. The probability of rolling a multiple of 5; the one possibility is just 5, since we already accounted for rolling a 10 as an even number. So that is 1/36. The word <u>or</u> says that we add the two probabilities, so the final answer is 6/36+1/36=7/36.

6 0
3 years ago
What is the primary goal and secondary goal of the Fried Liver Opening in chess? &lt;br /&gt;
polet [3.4K]

Play usually continues 7.Qf3+ Ke6 8.Nc3 (see diagram). Black will play 8...Nb4 or 8...Ne7 and follow up with c6, bolstering his pinned knight on d5. If Black plays 8...Nb4, White can force the b4 knight to abandon protection of the d5 knight with 9.a3?! Nxc2+ 10.Kd1 Nxa1 11.Nxd5, sacrificing a rook, but current analysis suggests that the alternatives 9.Qe4, 9.Bb3 and 9.O-O are stronger. White has a strong attack, but it has not been proven yet to be decisive.

Because defence is harder to play than attack in this variation when given short time limits, the Fried Liver is dangerous for Black in over-the-board play, if using a short time control. It is also especially effective against weaker players who may not be able to find the correct defences. Sometimes Black invites White to play the Fried Liver Attack in correspondence chess or in over-the-board games with longer time limits (or no time limit), as the relaxed pace affords Black a better opportunity to refute the White sacrifice.


3 0
3 years ago
Other questions:
  • Minnesota had the highest turnout rate of any state for the 2012 Presidential election (United States Election Project website,
    5·1 answer
  • PLEASE HELP 20 POINTS AND WILL MAKE BRAINLIEST!!!!
    9·1 answer
  • Single entry moans ???
    6·1 answer
  • Which equation is parallel to y−4 = 2(x+1) and goes through the point (-2, -14)?
    15·1 answer
  • Please answer this correctly
    8·2 answers
  • A resort hotel has 260 guests. On one​ day, 6 groups of 13 guests leave to shop and 2 groups of 6 guests go sightseeing. Evaluat
    5·1 answer
  • If sin theta= 4/5 and theta is in quadrant 2, the value of cot theta is . if necessary, use the slash mark ( / ) for a fraction
    10·1 answer
  • 3/5 of 7 pls help shshshshs
    13·1 answer
  • Find the 5th term in the expansion of (3x-5)^5<br> in simplest form.
    12·1 answer
  • What are characteristics of nonvascular plants? (Select all that apply.)
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!