Areas Related to Circles

21 CBSE Class 10 Mathematics practice questions with answers and worked solutions.

About this chapter

Difficulty: 5 easy · 15 moderate · 1 hard.
Most-asked subtopics: Area of a Sector (15), Area of a Segment (6).
Updated 18 September 2026.

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#1Area of a Sector
#2Area of a Segment
#3Area of a Sector
Unless stated otherwise, use $\pi = \dfrac{22}{7}$ .
#4Area of a Sector
Unless stated otherwise, use $\pi = \dfrac{22}{7}$ .
#5Area of a Sector
Unless stated otherwise, use $\pi = \dfrac{22}{7}$ .
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#6Area of a Segment
Unless stated otherwise, use $\pi = \dfrac{22}{7}$ .
#7Area of a Segment
Unless stated otherwise, use $\pi = \dfrac{22}{7}$ .
#8Area of a Sector
Unless stated otherwise, use $\pi = \dfrac{22}{7}$ .
#9Area of a Sector
Unless stated otherwise, use $\pi = \dfrac{22}{7}$ .
#10Area of a Sector
Unless stated otherwise, use $\pi = \dfrac{22}{7}$ .
#11Area of a Segment
Unless stated otherwise, use $\pi = \dfrac{22}{7}$ .
Set · 2 questions
Unless stated otherwise, use $\pi = \dfrac{22}{7}$ . A chord of a circle of radius 10 cm subtends a right angle at the centre. Find the area of the corresponding : (Use $\pi = 3.14$ )
- #12Area of a Segment
- #13Area of a Sector
Set · 3 questions
Unless stated otherwise, use $\pi = \dfrac{22}{7}$ . In a circle of radius 21 cm, an arc subtends an angle of $60^\circ$ at the centre. Find:
- #14Area of a Sector
- #15Area of a Sector
- #16Area of a Segment
Set · 2 questions
Unless stated otherwise, use $\pi = \dfrac{22}{7}$ . A horse is tied to a peg at one corner of a square shaped grass field of side 15 m by means of a 5 m long rope (see Fig. 11.8). Find (Use $\pi = 3.14$ )
- #17Area of a Sector
- #18Area of a Sector
Set · 2 questions
Unless stated otherwise, use $\pi = \dfrac{22}{7}$ . A brooch is made with silver wire in the form of a circle with diameter 35 mm. The wire is also used in making 5 diameters which divide the circle into 10 equal sectors as shown in Fig. 11.9. Find :
- #19Area of a Sector
- #20Area of a Sector
#21Area of a Sector
Unless stated otherwise, use $\pi = \dfrac{22}{7}$ .

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Areas Related to Circles

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