Vidaara.orgClass 10 · Mathematics
CodeVID-M10-10-PER-01
Perimeter & Area of a Circle — Assignment
Name: ____________________
Roll No.: __________
Date: ____________
General Instructions
- All questions are compulsory.
- Section A carries 1 mark each, Section B 2 marks, Section C 3 marks and Section D 5 marks.
- Show all working for Sections B, C and D. Only final answers are given at the end — for full solutions, raise your doubts with your teacher.
Section A — Multiple Choice Questions
5 × 1 = 5 marks
1.
Circumference $=$
- A.$\pi r^2$
- B.$2\pi r$
- C.$\pi r$
- D.$\pi d^2$
2.
Area of a circle $=$
- A.$2\pi r$
- B.$\pi r^2$
- C.$\pi d$
- D.$\pi r$
3.
Area with $r=7$ ($\pi=\tfrac{22}{7}$) is:
- A.$44$
- B.$154$
- C.$22$
- D.$49$
4.
Circumference with $r=7$ is:
- A.$22$
- B.$44$
- C.$154$
- D.$14$
5.
The diameter equals:
- A.$r$
- B.$2r$
- C.$\pi r$
- D.$r/2$
Section B — Short Answer (2 marks)
4 × 2 = 8 marks
6.
Find the circumference for $r=14$ ($\pi=\tfrac{22}{7}$).
7.
Find the area for $r=7$.
8.
Find the area for $d=14$.
9.
Find the radius if the circumference is $44$.
Section C — Short Answer (3 marks)
4 × 3 = 12 marks
10.
Find the area of a circle of diameter $28$ cm.
11.
The circumference is $132$ cm; find the radius and area.
12.
Find the area of a ring with $R=7$ cm and $r=3.5$ cm.
13.
A wheel has radius $35$ cm. How far does it travel in one revolution?
Section D — Long Answer (5 marks)
2 × 5 = 10 marks
14.
The area of a circle is $154$ cm$^2$. Find its circumference.
15.
A circular park of radius $21$ m has a $3.5$ m wide path around it. Find the area of the path.
Answer Key
Section A — Multiple Choice Questions
- (B) $2\pi r$
- (B) $\pi r^2$
- (B) $154$
- (B) $44$
- (B) $2r$
Section B — Short Answer (2 marks)
- $88$.
- $154$.
- $154$.
- $7$.
Section C — Short Answer (3 marks)
- $616$ cm$^2$.
- $r=21$ cm, area $1386$ cm$^2$.
- $115.5$ cm$^2$.
- $220$ cm.
Section D — Long Answer (5 marks)
- $44$ cm.
- $500.5$ m$^2$.
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