All categories

2 years ago

The ratio of the diameters of two circles is y:z. What is the scale factor of the circles?

Mathematics

2 answers:

Ne4ueva [31]2 years ago

8 0

Answer:

The scale factor is $\frac{y}{z}$

Step-by-step explanation:

We are Given with Ratio of diameter of 2 circles which is y : z

We have to find Scale Factor of the circles

Scale factor of circles is the ratio of their radii.

let, Radius of 1st circle = $\frac{yx}{2}$

let, Radius of 2nd circle = $\frac{zx}{2}$

So, The scale factor = $\frac{Radius\: of\: 1st\: circle}{Radius\: of\: 2nd\: circle}$

= $\frac{\frac{yx}{2}}{\frac{zx}{2}}$

= $\frac{yx}{2}\times\frac{2}{zx}$

= $\frac{y}{z}$

Therefore, The scale factor is $\frac{y}{z}$

Rudiy272 years ago

7 0

The scale factor is the ratio of the areas of the 2 circles.

areas = pi (y/2)^2 and pi (z/2)^2

so required ratio = y^2 : z^2

You might be interested in

If x divided by 9 = 1, how do you know what x is

padilas [110]

X/9=1

Multiply both sides by 9. So x=9.

6 0

3 years ago

Read 2 more answers

Given the function f ( x ) = 5 + x 2 , calculate the following values:

Drupady [299]

Answer:

f(x+1)=fx+f

f(x)+f(6)=fx+6f

Step-by-step explanation:

7 0

2 years ago

A triangle ABC is inscribed in a circle, such that AB is a diameter. What are the measures of angles of this triangle if measure

Katen [24]

Answer:

∠C=90°

∠A=67°

∠B=23°

Step-by-step explanation:

For angle C:

Thales' Theorem states that an angle inscribed across a circle's diameter is always a right angle.

Therefore, since AB is the diameter(hypotenuse) then angle C is the right angle. (90°)

For Angle A:

The measure of arc BC= 134 degrees. We can just use a formula for an inscribed triangle. ∠A = 1/2 (mBC)

∠A= (1/2)134

∠A= 77°

For angle B:

All triangle angles all add up to 180. We can just subtract angles A and C from 180°:

∠B = 180-(90+67)

∠B = 23°

8 0

3 years ago

If 12% = 1000, what is the remaining 88% worth?

MrRissso [65]

Note: I am not 100% sure that this is the correct way to solve this problem. It is just my best attempt to help.

Keep in mind that every percentage can be made into a decimal. 12% = 0.12 because 12% is also 12/100 as a fraction.

Since a percentage is the original number multiplied by the percent, you can solve this problem by dividing the number given by the percent. Be sure to turn the percent into a decimal to make it easier. Your work should look like this:

12% = 0.12

1,000 / 0.12 = 8,333.33

That is the first step. How you have to finish the problem and find what 88% is. To do this, you can simply multiply 88%, or 0.88, times the answer you get in the first part. Your work should look like this:

88% = 0.88
0.88 * 8,333.33 = 7,333.33

Now to check your work, you can add 7,333.33 and 1,000 to see if it equal the total of 8,333.33

7,333.33 + 1,000 = 8,333.3

Since it is equal, this is your answer.

3 0

3 years ago

Find the area of circle o if DCBO is a rectangle and DB measure 10 units

Dmitrij [34]

Answer:

$100\pi$