JAMIA 2026 — Reasoning PYQ

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Question

JAMIA 2026 — Reasoning PYQ

JAMIA | Reasoning | 2026

If the radius of a circle is increased by 20%, what is the percentage increase in its area?

Choose the correct answer:

Explanation

Method 2: Standard Algebraic Method

1. Define Initial Area:

Let the initial radius of the circle be $r$ .

$Initial Area (A_{1}) = π r^{2}$

2. Define New Area:

The radius is increased by $20%$ , so the new radius ( $r^{'}$ ) becomes:

$r^{'} = r + 20% of r = r + 0.2 r = 1.2 r$

Now, calculate the new area ( $A_{2}$ ):

$New Area (A_{2}) = π (r^{'})^{2} = π (1.2 r)^{2} = 1.44 π r^{2}$

3. Calculate Percentage Increase:

$% Increase in Area = \frac{New Area - Initial Area}{Initial Area} \times 100$

$% Increase in Area = \frac{1.44 π r ^{2} - π r ^{2}}{π r ^{2}} \times 100$

$% Increase in Area = \frac{0.44 π r ^{2}}{π r ^{2}} \times 100 = 0.44 \times 100 = 44%$

Correct Answer

Option (a) 44%