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 ]

This question was previously asked in
SSC MTS Previous Year Paper (Held on: 14 July 2022 Shift 3)
View all SSC MTS Papers >
  1. 156 cm
  2. 172 cm
  3. 148 cm
  4. 128 cm

Answer (Detailed Solution Below)

Option 3 : 148 cm
Free
SSC MTS 2024 Official Paper (Held On: 01 Oct, 2024 Shift 1)
90 Qs. 150 Marks 90 Mins

Detailed Solution

Download Solution PDF

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 ×  × 28 = 176 cm

Now, difference between Circumference and radius is

= 176 - 28

= 148 cm

Hence, the required difference is 148 cm.

Latest SSC MTS Updates

Last updated on Jul 7, 2025

-> SSC MTS Notification 2025 has been released by the Staff Selection Commission (SSC) on the official website on 26th June, 2025.

-> For SSC MTS Vacancy 2025, a total of 1075 Vacancies have been announced for the post of Havaldar in CBIC and CBN.

-> As per the SSC MTS Notification 2025, the last date to apply online is 24th July 2025 as per the SSC Exam Calendar 2025-26.

-> The selection of the candidates for the post of SSC MTS is based on Computer Based Examination. 

-> Candidates with basic eligibility criteria of the 10th class were eligible to appear for the examination. 

-> Candidates must attempt the SSC MTS Mock tests and SSC MTS Previous year papers for preparation.

More Circles Questions

Hot Links: teen patti fun rummy teen patti teen patti rummy 51 bonus real teen patti