A circular pizza having a radius of 21 cm. If 75% of it is eaten, what is the area of pizza remaining?

Quantitative Aptitude ·Previously asked in SSC CGL 2025

View the full solved paper: SSC CGL 2025 Tier I — 12 Sep 2025 (Shift 1, 9:00 AM)

Question

A circular pizza having a radius of 21 cm. If 75% of it is eaten, what is the area of pizza remaining?

  1. A. 173.25 cm²
  2. B. 346.36 cm² (Correct answer)
  3. C. 432.25 cm²
  4. D. 115.5 cm²

Correct Answer

Option B — 346.36 cm²

Detailed Solution & Explanation

The correct answer is 346.36 cm².

Key Points

  • Full area = π × 21² ≈ 3.14159 × 441 ≈ 1385.44 cm².
  • If 75% is eaten, 25% remains: 1385.44 × 0.25 ≈ 346.36 cm².
  • The fraction eaten applies to the whole area, so compute the total circle area once, then take the leftover fraction — here a quarter.

Topics covered: Mensuration Circle