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
CBSE 2026 Board Exam Set 3 (Code 30/1/3)
CBSE_BOARD_PYQ_2026_30_1_3
Grade 10
Question:
[Section A]
The area of a quadrant of a circle whose circumference is $44$ cm is:
(a) $38.5$ cm$^2$
(b) $77$ cm$^2$
(c) $154$ cm$^2$
(d) $84$ cm$^2$
The area of a quadrant of a circle whose circumference is $44$ cm is:
(a) $38.5$ cm$^2$
(b) $77$ cm$^2$
(c) $154$ cm$^2$
(d) $84$ cm$^2$
Step-by-Step Solution
Key Concept: Circumference $2\pi r = 44 \Rightarrow r = 7$ cm. Area of quadrant $= \dfrac{1}{4} \pi r^2 = 38.5$ cm$^2$.
$r = 7$ cm. Area $= \dfrac{1}{4} \times \dfrac{22}{7} \times 49 = 38.5$ cm$^2$. [1.0 Mark]
Correct Answer: (a) 38.5 cm² (or (c) 84 cm² in special variant)
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.