Class 10 Maths Areas Related to Circles questions with solutions

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Topic Question Set

Q 1 :
The area of a quadrant of a circle, whose circumference is 22 cm, is

$\frac{11}{8} c m^{2}$
$\frac{77}{8} c m^{2}$
$\frac{77}{2} c m^{2}$
$\frac{77}{4} c m^{2}$

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2

3

4

(2) $\frac{77}{8} c m^{2}$

Q 2 :
The number of revolutions made by a circular wheel of radius 0.25m in rolling a distance of 11km is

2800
4000
5500
7000

1

2

3

4

(4)

Since, radius of wheel $(r) = 0.25 m$

Total distance covered by a circular wheel = 11 km = 11000 m

$\Rightarrow No. of revolutions \times 2 π r = 11000$

$\Rightarrow No. of revolutions = \frac{11000 \times 7}{2 \times 22 \times 0.25} = 7000$

Q 3 :
If the length of an arc of a circle subtending an angle $60 °$ at its centre is 22 cm, then the radius of the circle is :

$\sqrt{21}$ cm
$21$ cm
$\sqrt{42}$ cm
$42$ cm

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2

3

4

(2) 21 cm

Q 4 :
The diagonals of a rhombus ABCD intersect at O. Taking ‘O’ as the centre, an arc of radius 6 cm is drawn intersecting OA and OD at E and F respectively. The area of the sector OEF is :

$9 π$ ${cm}^{2}$
$3 π$ ${cm}^{2}$
$12 π$ ${cm}^{2}$
$18 π$ ${cm}^{2}$

1

2

3

4

(1) $9 π$ ${cm}^{2}$

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