NCERT Solutions Class 10 Maths Chapter 11 — Areas Related to Circles#

Chapter 11 covers the measurement of regions bounded by circles and their parts. You will calculate the perimeter and area of a sector (a “pie-slice” of a circle), the area of a minor or major segment, and find the areas of composite figures formed by combining circles and rectilinear figures.

exercise 11.1

Exercises#

  • Exercise 11.1 — Perimeter and area of sectors, segments, and composite figures (14 questions)

What you will learn#

  • The area of a sector and the length of an arc for any central angle.
  • The areas of the minor and major segments of a circle.
  • Areas of combined figures made of circles, sectors, squares and triangles.

Key formulas and results#

  • Area of a sector: $\dfrac{\theta}{360°} \times \pi r^2$.
  • Length of an arc: $\dfrac{\theta}{360°} \times 2\pi r$.
  • Area of a segment = area of the sector − area of the triangle.

Read and revise#

Frequently asked questions#

How many exercises are in Class 10 Maths Chapter 11?
One: Exercise 11.1 (14 questions) — 14 questions in all, each solved step by step here.
What is the difference between a sector and a segment?
A sector is bounded by two radii and an arc, like a slice of pizza. A segment is bounded by a chord and an arc.

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