CBSE Class 10 Mathematics Question 9 of 35

Areas Related to Circles — Question Ex 12.2 Q5

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Ex 12.2 Q5
Question

In a circle of radius 21 cm, an arc subtends an angle of 60° at the centre. Find:
(i) length of the arc.
(ii) area of the sector formed by the arc.
(iii) area of the segment formed by the corresponding chord.

Answer

Ex 12.2 Class 10 Maths NCERT Solutions PDF Q5

Areas Related to Circles - CBSE Class 10 | CBSE Class 10 Maths | Bright Tutorials
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CBSE Class 10 Areas Related to Circles — Complete Guide

This chapter carries 4-5 marks and involves calculation of sector areas, segment areas, and combination of plane figures.

Quick Revision: Key Formulae

  • Sector area: (θ/360) × πr²
  • Arc length: (θ/360) × 2πr
  • Segment area: Sector area − Triangle area
  • Combination figures: Decompose into basic shapes, add/subtract

Most Important Questions

  1. Find area of sector and corresponding segment
  2. Shaded region problems (circle in square, etc.)
  3. Flower petal and design problems
  4. Combined figure area calculations

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