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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 perimeter of a sector of a circle of radius $8$ cm with central angle $90^\circ$ is:
(a) $4\pi + 16$ cm
(b) $8\pi$ cm
(c) $4\pi$ cm
(d) $16\pi$ cm
The perimeter of a sector of a circle of radius $8$ cm with central angle $90^\circ$ is:
(a) $4\pi + 16$ cm
(b) $8\pi$ cm
(c) $4\pi$ cm
(d) $16\pi$ cm
Step-by-Step Solution
Key Concept: Perimeter $= l + 2r = \dfrac{90}{360} \times 2\pi(8) + 16 = 4\pi + 16$ cm.
Arc length $= 4\pi$ cm. Total perimeter $= 4\pi + 16$ cm. [1.0 Mark]
Correct Answer: (a) 4π + 16 cm (or (b) 8π cm arc variant)
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