Question

if the radius of circle is increased by 1 centimetre, then the ratio of the new circumference to the new diameter is​

Answer 1

Answer:

Remains same, i.e ratio is still π

Step-by-step explanation:

For a circle of radius R

Diameter = 2R

Circumference = 2πR

Ratio:

Circumference / Diameter = (2πR)/(2R) = π

From above we can say that ratio of circumference and diameter is π and independent of radius of circle.

Proof:

Let the radius be R

After increasing by 1 cm, radius now is R + 1

Ratio of circumference and diameter is

2π(R + 1) / [2(R + 1)] = π