Home > Areas Related to Circles > CBSE > 6e902074-f748-49b9-888e-b346497f8945
Not the exact question you were looking for?

Paste your question to our Mathbee AI Mentor below to get an instant step-by-step solution.

Areas Related to Circles
RD Sharma
CBSE
Grade 10

Question:

If the circumference of a circle increases from $2\pi$ to $4\pi$, its area becomes:
(a) Half
(b) Double
(c) Three times
(d) Four times

Step-by-Step Solution

Key Concept: Circumference doubles $\Rightarrow$ Radius doubles $\Rightarrow$ Area becomes $2^2 = 4$ times.
$r_1 = 1 \Rightarrow A_1 = \pi$. $r_2 = 2 \Rightarrow A_2 = 4\pi$. Area increases 4 times. [1.0 Mark]

---
🎯 Official CBSE Marking Scheme:
Evaluating 4 times increase: 1.0 Mark

Correct Answer: Four times
Mathbee AI Mentor (Free Demo)

Confused by the solution? Ask the AI to explain a specific step, tell you where you went wrong, or break down the key trap in this question.

Master Areas Related to Circles with Mathbee

Practice this topic under real exam conditions with strict timers, or ask our AI Mentor to explain the concepts step-by-step.

Start Practicing for Free