MathsCBSE Class 10 · Basic · Board exam 2026, set 430/1/1 · 1 mark · MCQ

CBSE Class 10 Mathematics Basic 2026: question 14

Set in the CBSE Class 10 board exam of 2026, paper 430/1/1, section A, question 14, for 1 mark. Try it first; the hints and our step-by-step solution are below.

Q14 · 1 mark · MCQAreas Related to Circles

The ratio of the area of a quadrant of a circle to the area of the same circle is :

(A) $1 : 2$
(B) $2 : 1$
(C) $1 : 4$
(D) $4 : 1$

Source: official question paper from cbse.gov.in (PDF). See it in the full 2026 board paper, set 430/1/1.

Hints

Open one hint at a time and try again before the next.

Hint 1

A quadrant is one of the four equal sectors of a circle.

Hint 2

Use the sector-area formula $\frac{θ}{36 0 ^{\circ}} π r^{2}$ with $θ = 9 0^{\circ}$ and compare it with $π r^{2}$ .

Step-by-step solution

Each step shows the marks it earns, as an examiner would award them. Checked by an independent re-solve from the question paper.

Area of a quadrant $= \frac{9 0 ^{\circ}}{36 0 ^{\circ}} π r^{2} = \frac{1}{4} π r^{2}$ , area of the circle $= π r^{2}$ .
½ mark
Ratio $= \frac{1}{4} π r^{2} : π r^{2} = 1 : 4$ , so option (C).
½ mark

Answer: $1 : 4$ , option (C)

Where the marks are

Identifies the correct ratio $1 : 4$ , option (C) (1 mark)

Revise the chapter

Chapter: Areas Related to Circles (notes, formulas, where marks are lost and every past question)
Topic: Area of a Sector of a Circle

Practise this chapterBoard-style questions from Areas Related to Circles, one at a time, marked against the answer key and marking points.Back to the full paper2026 board paper, set 430/1/1 (Basic): every question, by section.

The question is transcribed from the official paper; figures are described in words. The solution, hints and chapter tag are ours. Spotted an error? Write tosupport@questionbuddy.in.

CBSE Class 10 Mathematics Basic 2026: question 14

Hints

Step-by-step solution

Revise the chapter

More questions from Areas Related to Circles