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Class 10 Areas Related to Circles worksheet
CBSE Mathematics. Sectors, arcs and segments; rings, wheels, clock hands and wipers. Every sheet has 20 questions in three sections and an answer key, and the numbers change every time.
Sample questions
Real questions from this chapter, as the app sets them. Tap Answer to see the answer and working.
Section A · multiple choice
- 1.
The area of a sector of angle 135° in a circle of radius 7 cm (π = 22/7) is:
- 16 1/2 cm²
- 115 1/2 cm²
- 154 cm²
- 57 3/4 cm²
Answer
(d) 57 3/4 cm²
(135/360) × 22/7 × 7² = 57 3/4
- 2.
The length of an arc of angle 270° in a circle of radius 35 cm (π = 22/7) is:
- 165 cm
- 330 cm
- 2,887 1/2 cm
- 82 1/2 cm
Answer
(a) 165 cm
(270/360) × 2 × 22/7 × 35 = 165
- 3.
The circumference of a circle is 352 cm (π = 22/7). Its radius is:
- 112 cm
- 63 cm
- 176 cm
- 56 cm
Answer
(d) 56 cm
2 × 22/7 × r = 352, so r = 56
Section B · short answer
- 4.
Find the perimeter of a sector of angle 180° in a circle of radius 21 cm (π = 22/7).
Answer
108 cm
2r + arc = 42 + 66
- 5.
Find the area of the ring between two concentric circles of radii 21 cm and 14 cm (π = 22/7).
Answer
770 cm²
22/7 × (21² − 14²) = 770
Section C · long answer
- 6.
A horse is tied to a peg at one corner of a square field of side 35 m with a rope 21 m long. (a) What area can it graze? (b) How much more could it graze if the rope were 28 m long? (π = 22/7)
Answer
(a) 346 1/2 m²; (b) 269 1/2 m² more
a quadrant each time: (1/4) × 22/7 × r²
Fresh sheets for your child
In the app, every Areas Related to Circles sheet is new: the app remembers the questions your child has already had and leaves them out. Print the sheet as a PDF, or use notebook mode and write the answers in a notebook.
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