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The difference between circumference and diameter of a ring is 10 cm. Find the radius of the ring.(a) 3.07 cm(b) 0.37 cm(c) 2.33 cm(d) 4.57 cmI got this question in an interview.The above asked question is from Perimeter and Area of a Circle in division Area Related to Circles of Mathematics – Class 10

Answer»

The correct answer is (c) 2.33 CM

To elaborate: CIRCUMFERENCE – Diameter = 10 cm(∵ Diameter = 2 × RADIUS)

2πr – 2r = 10 cm

2r(π – 1) = 10 cm

2r(\(\FRAC {22}{7}\) – 1) = 10 cm

2r(\(\frac {15}{7}\)) = 10 cm

r = 10 × \(\frac {7}{15} \times \frac {1}{2}\)

r = 2.33 cm



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