MATH SOLVE

4 months ago

Q:
# Can somone answer these? Free Brainliest

Accepted Solution

A:

Two

The short answer is that it multiplies by 3.

Argument

First take an example. Use the one you were given

The small circle

The small circle starts out with a diameter of 5. So find the circumference.

d = 2r

r = d/2

r = 5/2 = 2.5

Circumference = 2 pi r

Circumference = 2 * 3.14 * 2.5

Circumference = 15.7

The large circle

The large circle has a diameter 3 times as big.

D = 15

r = d/2

r = 15/2

r = 7.5

Circumference = 2 pi r

Circumference = 2 * 3.14 * 7.5

Circumference = 47.1

What are the ratios of these two numbers?

ration = 37.1 / 15.7 = 3

B <<<<< Answer

Three

Short Answer: C

Comment

Think of the conversion as pi radians = 180 degrees just as you would say 3.78 L = 1 US gallon. The definition you have been offered will get you into trouble if you don't read it properly.

Solution

Change the 3/2 * pi radians into 1.5*pi radians

pi radians / 180 = 1.5 pi radians / x where x is the angle in degrees. Divide both sides by pi.

1 / 180 = 1.5 / x Cross multiply

1*x = 180 * 1.5

x = 270

C <<<< answer.

The short answer is that it multiplies by 3.

Argument

First take an example. Use the one you were given

The small circle

The small circle starts out with a diameter of 5. So find the circumference.

d = 2r

r = d/2

r = 5/2 = 2.5

Circumference = 2 pi r

Circumference = 2 * 3.14 * 2.5

Circumference = 15.7

The large circle

The large circle has a diameter 3 times as big.

D = 15

r = d/2

r = 15/2

r = 7.5

Circumference = 2 pi r

Circumference = 2 * 3.14 * 7.5

Circumference = 47.1

What are the ratios of these two numbers?

ration = 37.1 / 15.7 = 3

B <<<<< Answer

Three

Short Answer: C

Comment

Think of the conversion as pi radians = 180 degrees just as you would say 3.78 L = 1 US gallon. The definition you have been offered will get you into trouble if you don't read it properly.

Solution

Change the 3/2 * pi radians into 1.5*pi radians

pi radians / 180 = 1.5 pi radians / x where x is the angle in degrees. Divide both sides by pi.

1 / 180 = 1.5 / x Cross multiply

1*x = 180 * 1.5

x = 270

C <<<< answer.