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