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Published on: 13/05/2022
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Questions + Answers key
Take MCQ Maths Test1.
A wire of length 1320 cm is made into circular frames of radius 7 cm each. How many frames can be made?
2.
Find the circumference of the circles whose radii are given below.
91 mm
3.
Diameters of different circles are given below. Find their circumference (Take π = \(\frac { 22 }{ 7 } \)).
d = 28 mm
4.
Diameters of different circles are given below. Find their circumference (Take π = \(\frac { 22 }{ 7 } \)).
d = 70 cm
5.
Find the missing values in the following table for the circles with radius (r), diameter (d) and Circumference (C).
| S.No. | radius (r) | diameter (d) | Circumference (C) |
| (i) | 15 cm | ||
| (ii) | 1760 cm | ||
| (iii) | 24 m |
1.
Length of wire = 1320 cm
Circumference of a circular frame - 2r units
\(=2 \times \frac{22}{7} \times 7=44 \mathrm{~cm}\)
Number of circular
\(\text { frames }= \frac{\text { Length of wire }}{\text { Circumference of a circular frame }}
\)
\(=\frac{1320 \mathrm{~cm}}{44 \mathrm{~cm}}
\)
= 30 frames
30 circular frames can be made.
2.
91mm
Radius r = 91mm
Circumference C = 2πr
Circumference = 572 mm
3.
d = 28 mm
Circumference C = πd \(=\frac{22}{7} \times 28=88 \mathrm{~mm}\)
4.
d = 70 cm
Circumference C = πd \(=\frac{22}{7} \times 70=220 \mathrm{~cm}\)
5.
(i) r = 15 cm
Diameter(4) = 2r = 2 x 15
d = 30 cm
Circumference C \(=2 \pi r=2 \times \frac{22}{7} \times 15
\)
\(=\frac{660}{7}=94.28 \mathrm{~cm}
\)
Diameter = 30 cm
Circumference C = 94.28 cm
(ii) Given Circumference
C = 1760 cm
\(2 \pi r=1760 \Rightarrow 2 \times \frac{22}{7} \times r=1760\)
\(r=1760 \times \frac{1}{2} \times \frac{7}{22}\)
r = 280 cm
d = 2 x r = 2 x 280 = 560 cm
(iii) Given diarneter
d = 24 m 2r = 24 m
\(\mathrm{r}=\frac{24}{2} \mid=12 \mathrm{~m}\)
Circumference = 2r
\(=2 \times \frac{22}{7} \times 12=75.42 \mathrm{~m}\)
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Tamilnadu Stateboard 7th Standard Subjects
Tamilnadu Stateboard Standards
