answersLogoWhite

0


Best Answer

Since the area = (pi/4)*(diameter)², then changing the diameter by 1/4 the original, the area will be (1/4)² = (1/16) the original.

User Avatar

Wiki User

12y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: What happens to the area of a circle if the diameter is decreased by the factor of 4?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Continue Learning about Math & Arithmetic

How many times longer is the circumference of a circle than its diameter?

It is larger than the diameter by a factor of Pi (about 3.1416).


What happens to the area of a circle when you triple the radius?

As the area of a circle is pi*radius2 the increase in area is a factor of 32. So tripling the radius gives an increase in area by a factor of 9.


What is the critical relationship between cell volume and surface area?

The volume is proportional to the cube of the diameter, but the area, only to the square of the diameter. For example, if you double the diameter, the area will increase by a factor of 4, and the volume, by a factor of 8. Thus, the area/volume ratio will worsen, by a factor of 2.The volume is proportional to the cube of the diameter, but the area, only to the square of the diameter. For example, if you double the diameter, the area will increase by a factor of 4, and the volume, by a factor of 8. Thus, the area/volume ratio will worsen, by a factor of 2.The volume is proportional to the cube of the diameter, but the area, only to the square of the diameter. For example, if you double the diameter, the area will increase by a factor of 4, and the volume, by a factor of 8. Thus, the area/volume ratio will worsen, by a factor of 2.The volume is proportional to the cube of the diameter, but the area, only to the square of the diameter. For example, if you double the diameter, the area will increase by a factor of 4, and the volume, by a factor of 8. Thus, the area/volume ratio will worsen, by a factor of 2.


How do you the find of a eqution of a half circle?

Divide the original circle's area by the factor you want to divide it into.


If the antenna diameter in radar system is increased by a factor of 4 then the maximum range will be increased by a factor of?

16

Related questions

What happens to the radius of a circle when the diameter doubles?

It doubles too. The diameter is always twice the radius. Multiplying either of the two by any factor f automatically multiplies the other one by the same factor.


When the diameter of a circle is tripled what happens to the area of the cirlcle?

Area is proportional to the square of the linear dimensions.If diameter is tripled, area increases by a factor of (3)2 = 9 .


When the diameter of a sphere is decreased by 25 percent the what percent does its curved area decreases?

The area is proportional to the square of the diameter. So, if the diameter changes by a factor 0.75, the area changes by a factor of 0.752.


How many times longer is the circumference of a circle than its diameter?

It is larger than the diameter by a factor of Pi (about 3.1416).


If the diameter of a circle is dilated by a scale factor of 0.6 what will be the effect on the circles circumference?

All linear dimensions (radius, diameter, circumference, an arc that covers a certain angle, etc.) will scale by the same factor.


What happens to the circumference if the diameter is halved?

Yes it does. By a factor of 4.


In a negative correlation as one factor is decreased the other factor?

In a negative correlation as one factor is decreased, the other factor is increased.


What happens if a circle's radius is tripled?

If the radius is tripled then the Area will be greater by a factor of 9. And the circumference will be greater by a factor of 3.


If the volume of a sphere decreases by a factor of 27 what happens to its diameter?

The volume of a sphere is 4/3 pi R3, which shows that volume is proportional to the cube of the linear dimension. Alternatively, the linear dimension is proportional to the cube-root of the volume.If volume decreases by a factor of 27, diameter decreases by a factor of (cube-root of 27) = 3. Diameter becomes 1/3rd the original diameter.


What happens to the area of a circle when you triple the radius?

As the area of a circle is pi*radius2 the increase in area is a factor of 32. So tripling the radius gives an increase in area by a factor of 9.


What is the critical relationship between cell volume and surface area?

The volume is proportional to the cube of the diameter, but the area, only to the square of the diameter. For example, if you double the diameter, the area will increase by a factor of 4, and the volume, by a factor of 8. Thus, the area/volume ratio will worsen, by a factor of 2.The volume is proportional to the cube of the diameter, but the area, only to the square of the diameter. For example, if you double the diameter, the area will increase by a factor of 4, and the volume, by a factor of 8. Thus, the area/volume ratio will worsen, by a factor of 2.The volume is proportional to the cube of the diameter, but the area, only to the square of the diameter. For example, if you double the diameter, the area will increase by a factor of 4, and the volume, by a factor of 8. Thus, the area/volume ratio will worsen, by a factor of 2.The volume is proportional to the cube of the diameter, but the area, only to the square of the diameter. For example, if you double the diameter, the area will increase by a factor of 4, and the volume, by a factor of 8. Thus, the area/volume ratio will worsen, by a factor of 2.


A number decreased by a factor of 7?

7-c