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If the diameter of a circle is dilated by a scale factor of 0.6 what will be the effect on the circles circumference?
When a circle's diameter is dilated by a scale factor of 0.6, the new diameter will be 0.6 times the original diameter. Since the circumference of a circle is directly proportional to its diameter by the formula C = πd, where C is the circumference and d is the diameter, the new circumference will also be 0.6 times the original circumference. Therefore, the effect of dilating the diameter by a scale factor of 0.6 will be a decrease in the circle's circumference by 40%.
How do you find the radius and circumference of a circle?
Draw a line that passes through the center of the circle (if the center is not marked, you can still find it by various means of geometrical construction, if you have a compass, or by slowly pulling a ruler down through the circle and seeing where the measurement of the circle is largest). The line that passes through the center, going from one side of the circumference to the other, is the diameter. The radius is simply half the diameter and can be measured directly, with a ruler. Once you have that figure, you can calculate the circumference. The circumference is equal to pi times the diameter, or two pi times the radius. Pi is equal to approximately 3.1415 which is close enough for all usual purposes.
Is the area of a circle larger than the circumference?
The area is measured in square units, while the circumference is measured in linear units. The two are not directly comparable. It does not make sense to compare different kinds of units, for example, which is larger: a foot or a gallon? If you just want to compare the numerical values while ignoring the units, you get different results for the same circle depending on the units of measurement you choose. The formula for the area of a circle is pi x r2. The formula for the circumference of a circle is pi x 2 x r. So, for example, if the radius is 2 cm, the area is 4 pi cm2 and the circumference is 4 pi cm, they are equal numerically. But 2 cm is the same thing as .02 m. If we use .02 m instead, we get the area is .0004 pi m2 and the circumference is .04 pi m. The circumference is numerically larger. The above example shows why it does not make sense to compare area to circumference. You get a different answer for the same circle depending on what unit of measurement you use.
If the circumference of a circle is tripled what happens to its radius?
The radius is tripled, too. Suppose: (1) C = 2πr (2) C' = 2πr' (3) C' = 3C Then C' = 3(2πr) = 2π(3r) But C' = 2πr', so 2πr' = 2π(3r) and finally r' = 3r.
What is the angle that a right angle triangle has?
The angle directly opposite the hypotenuse is always 90o in a right angle triangle and if you know the other sides you can work out the other angles using one of the three trigonometry equations. Sin, Tan or Cos then use the inverse and you will get the degree.
What relationship do you notice about the circumference and the diameter?
They are directly proportional.
What do you know about all the diameters of a circle?
The diameter of a circle is directly proportionate to the circumference. You can find the diameter of a circle by dividing the circumference by the value of Pi (3.14) OR you can find the circumference by multiplying Pi by the diameter. it is a line that halves a circle
If the circumference of a circle is doubled how does the diameter of the circle change?
Circumference and diameter are directly proportional. Doubling one doubles the other, and the same applies for any multiplier.
As the diameter of the circle increases what happens to the circumference?
The circumference of a circle increases with an increase in the radius as it is directly proportional its radius.
What is the mathematical relationship between the circumference of a circle and its diameter?
The mathematical relationship between the circumference of a circle and its diameter is given by the formula C = π * d, where C represents the circumference, d represents the diameter, and π is a constant approximately equal to 3.14159. This formula shows that the circumference is equal to π times the diameter of the circle. This relationship is fundamental in geometry and is used to calculate the circumference of a circle when the diameter is known.
If the diameter of a circle is dilated by a scale factor of 0.6 what will be the effect on the circles circumference?
When a circle's diameter is dilated by a scale factor of 0.6, the new diameter will be 0.6 times the original diameter. Since the circumference of a circle is directly proportional to its diameter by the formula C = πd, where C is the circumference and d is the diameter, the new circumference will also be 0.6 times the original circumference. Therefore, the effect of dilating the diameter by a scale factor of 0.6 will be a decrease in the circle's circumference by 40%.
How do you find the area of a circle if you have the circumference?
I'm not going to directly answer the question because it sounds like a homework problem, but these equations should allow you to figure it out: Area of a circle = pi*(radius)^2 Circumference of a circle = 2*pi*radius
Give an example of direct proportion?
The Circumference of a circle is directly proportional to the diameter. The constant of proportion is 'pi = 3.141592....'. Another one is force is directly proportional to mass. The constyant of proportion is acceleration.
How is pi related to the sun?
Pi is not directly related to the sun, as it is a mathematical constant representing the ratio of a circle's circumference to its diameter. The sun is a star in our solar system that emits light and heat, playing a crucial role in sustaining life on Earth.
What is girth and diameter?
girth: (noun) the distance around something, especially a rounded form; circumference It is often applied to trees, columns, and sometimes people. A diameter is the widest distance between sides of a circle or cylinder, passing directly through the center.
What physics equations go into lacrosse?
There are no physics equations that go directly to lacrosse from physics.
How do you find the radius and circumference of a circle?
Draw a line that passes through the center of the circle (if the center is not marked, you can still find it by various means of geometrical construction, if you have a compass, or by slowly pulling a ruler down through the circle and seeing where the measurement of the circle is largest). The line that passes through the center, going from one side of the circumference to the other, is the diameter. The radius is simply half the diameter and can be measured directly, with a ruler. Once you have that figure, you can calculate the circumference. The circumference is equal to pi times the diameter, or two pi times the radius. Pi is equal to approximately 3.1415 which is close enough for all usual purposes.
