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Class 10 Maths
Areas Related To Circles
Quiz 1
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Perimeter of a sector of a circle whose central angle is 90° and radius 7 cm is
0%
35 cm
0%
25 cm
0%
77 cm
0%
7 cm
Explanation
25 cm
The area of a circle that can be inscribed in a square of side 10 cm is
0%
40π cm²
0%
30π cm²
0%
100π cm²
0%
25π cm²
Explanation
25π cm²
The perimeter of a square circumscribing a circle of radius a units is
0%
2 units
0%
4α units
0%
8α units
0%
16α units
Explanation
8α units
The perimeter of the sector with radius 10.5 cm and sector angle 60° is
0%
32 cm
0%
23 cm
0%
41 cm
0%
11 cm
Explanation
32 cm
In a circle of diameter 42 cm, if an arc subtends an angle of 60° at the centre, where π = \(\frac{22}{7}\) then length of arc is
0%
11 cm
0%
\(\frac{22}{7}\)cm
0%
22 cm
0%
44 cm
Explanation
22 cm
The perimeter of a sector of radius 5.2 cm is 14 cm, the area of the sector is
0%
31.2 cm²
0%
15 cm²
0%
15.6 cm²
0%
16.6 cm²
Explanation
15.6 cm²
If the perimeter of a semicircular protractor is 72 cm where π = \(\frac{22}{7}\), then the diameter of protractor is
0%
14 cm
0%
33 cm
0%
28 cm
0%
42 cm
Explanation
28 cm
If the radius of a circle is doubled, its area becomes
0%
2 times
0%
4 times
0%
8 times
0%
16 times
Explanation
4 times
If the sum of the circumferences of two circles with radii R
1
and R
2
is equal to circumference of a circle of radius R, then
0%
R
1
+ R
2
= R
0%
R
1
+ R
2
> R
0%
R
1
+ R
2
< R
0%
Can’t say;
Explanation
R
1
+ R
2
= R
The perimeter of a circular and square fields are equal. If the area of the square field is 484 m² then the diameter of the circular field is
0%
14 m
0%
21 m
0%
28 m
0%
7 m
Explanation
28 m
The radius of sphere is r cm. It is divided into . two equal parts. The whole surface area of two parts will be
0%
8πr² cm²
0%
6πr² cm²
0%
4πr² cm²
0%
3πr² cm²
Explanation
6πr² cm²
If the diameter of a semicircular protractor is 14 cm, then its perimeter is .
0%
27 cm
0%
36 cm
0%
18 cm
0%
9 cm
Explanation
36 cm
A race track is in the form of a circular ring whose outer and inner circumferences are 396 m and 352 m respectively. The width of the track is
0%
63 m
0%
56 m
0%
7 m
0%
3.5 m
Explanation
7 m
The area of the largest square that can be inscribed in a circle of radius 12 cm is
0%
24 cm²
0%
249 cm²
0%
288 cm²
0%
196√2 cm²
Explanation
288 cm²
The area of the largest triangle that can be inscribed in a semicircle of radius r is
0%
r²
0%
2r²
0%
r³
0%
2r³
Explanation
r²
The area (in cm²) of the circle that can be inscribed in a square of side 8 cm is
0%
64 π
0%
16 π
0%
8 π
0%
32 π
Explanation
16 π
If the perimeter of a circle is equal to that of a square, then the ratio of their areas is
0%
22 : 7
0%
14 : 11
0%
7 : 22
0%
11 : 14
Explanation
14 : 11
The circumference of two concentric circles forming a ring are 88 cm and 66 cm. Taking π =\(\frac{22}{7}\), the width of the ring is
0%
14 cm
0%
7 cm
0%
\(\frac{7}{2}\) cm
0%
21 cm
Explanation
\(\frac{7}{2}\) cm
A steel wire when bent in the form of a square encloses an area of 121 cm². If the same wire is bent in the form of a circle, then the circumference of the circle is
0%
88 cm
0%
44 cm
0%
22 cm
0%
11 cm
Explanation
44 cm
The diameter of a circle whose area is equal to sum of the areas of the two circles of radii 40 cm and 9 cm is
0%
41 cm
0%
49 cm
0%
82 cm
0%
62 cm
Explanation
82 cm
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