Question

The ratio of circumference of a circle to double of radius of a circle is equal to

Answer 1

Answer:

1 : 2

Step-by-step explanation:

To find---> Ratio of circumference of a circle to that of a circle whose radius is twice the radius of original radius.

Solution---> Let radius of first circle be r then

ATQ, radius of second circle = 2 × radius of first circle

Radius of second circle = 2 r

We know that,

Circumference of circle = 2 π × radius of circle

Let circumference of first and second circle be C₁ and C₂ .

Now , Circumference of first circle

= 2 π × radius of first circle

C₁ = 2π r

Circumference of second circle

= 2π × radius of second circle

= 2 π × ( 2 r )

C₂ = 4 π r

Now we find ratio of circumferences ,

C₁ / C₂ = 2 π r / 4π r

=> C₁ / C₂ = 1 / 2

=> C₁ : C₂ = 1 : 2

#Answerwithquality

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Answer 2

Answer:

Step-by-step explanation:

To find---> Ratio of circumference of a circle to that of a circle whose radius is twice the radius of original radius.

Solution---> Let radius of first circle be r then

ATQ, radius of second circle = 2 × radius of first circle

Radius of second circle = 2 r

We know that,

Circumference of circle = 2 π × radius of circle

Let circumference of first and second circle be C₁ and C₂ .

Now , Circumference of first circle

= 2 π × radius of first circle

C₁ = 2π r

Circumference of second circle

= 2π × radius of second circle

= 2 π × ( 2 r )

C₂ = 4 π r

Now we find ratio of circumferences ,

C₁ / C₂ = 2 π r / 4π r

=> C₁ / C₂ = 1 / 2

=> C₁ : C₂ = 1 : 2