The sum of the lengths of the radius and the diameter of a circle is 84 cm. What is the difference between the lengths of the circumference and the radius of this circle? [Use \(\pi=\frac{22}{7}\)]

Question

Question

This question was previously asked in

SSC MTS Previous Year Paper (Held on: 14 July 2022 Shift 3)

Answer 1

Given:

Radius + Diameter = 84 cm

Formula used:

Diameter = 2 x Radius

Circumference = 2πr

Calculations:

Let the radius be R then, Diameter be 2R.

Now, according to question,

R + 2R = 84

⇒ 3R = 84

⇒ R = 28

So, The circumference = 2πr = 2 × \(\frac{22}{7}\) × 28 = 176 cm

Now, difference between Circumference and radius is

= 176 - 28

= 148 cm

Hence, the required difference is 148 cm.

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