CBSE Questions for Class 10 Maths Areas Related To Cricles Quiz 1 - MCQExams.com

Identify the center of the circle.

471630.PNG
  • $$A$$
  • $$O$$
  • $$D$$
  • $$C$$
What is the length of arc AB making angle of $$126^0$$ at center of radius $$8$$?
  • $$2.6\displaystyle \pi $$
  • $$5.6\displaystyle \pi $$
  • $$7.6\displaystyle \pi $$
  • $$\displaystyle \frac{1}{2}\pi $$
Two concentric circles intersect at _____ number of points.
  • $$2$$
  • $$0$$
  • $$1$$
  • None of these

The diameter of a circle is $$10 cm$$. Find the length of the arc, when the corresponding central angle is $$270^o$$.  $$(\pi =3.14)$$
  • $$23.55 cm$$
  • $$20.57 cm$$
  • $$13.57 cm$$
  • $$11.57 cm$$
The length of an arc of a sector of a circle of radius r units and of centre angle $$\theta$$ is $$\displaystyle \frac{\theta}{360^{\circ}} \times \pi r^2$$.
  • True
  • False
  • Neither
  • Either
The area of a sector of angle p (in degrees) of a circle with radius R is
  • $$\displaystyle \frac{p}{360} \times 2 \pi R$$
  • $$\displaystyle \frac{p}{180}\times \pi R^2$$
  • $$\displaystyle \frac{p}{720} \times 2 \pi R$$
  • $$\displaystyle \frac{p}{720} \times 2 \pi R^2$$
If an arc of a circle of radius $$14\ cm$$ subtends an angle of $$60^{\circ}$$ at the centre, then the length of the arc is $$\displaystyle \dfrac{44}{3}\ cm$$.
  • True
  • False
  • Niether
  • Either
In a circle of radius 21 cm, an arc subtends an angle of $$60^{\circ}$$ at the centre the length of the arc is 22 cm.
  • True
  • False
  • Neither
  • Either
Identify which among the pieces given below will not be requires to complete the square.
465968.png
  • K
  • H
  • J
  • I
From the figure, identify the center of the circle.

471625.PNG
  • $$A$$
  • $$D$$
  • $$B$$
  • $$C$$
Find the difference of the areas of two segments of a circle formed by a chord of length $$5\ cm$$. Subtending an angle of $$90^{o}$$ till the centre.
  • $$32.14$$ sq. cm
  • $$35.42$$ sq. cm
  • $$38.96$$ sq. cm
  • $$42.43$$ sq. cm
A shuttlecock used for playing badminton has the shape of a combination of
  • a cone and a sphere
  • frustum of a cone and a hemisphere
  • a cylinder and a hemisphere
  • a cone and a cylinder
The radius of a circle is increased by $$1$$ cm, then the ratio of the new circumference  to the new diameter is
  • $$\pi +2$$
  • $$\pi +1$$
  • $$\pi $$
  • $$\pi- \dfrac{1}{2}$$
  • Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
  • Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
  • Assertion is correct but Reason is incorrect
  • Assertion is incorrect but Reason is correct
A horse is placed for grazing inside a square field 12 cm  long and is tethered to one  corner by a rope 8 cm long.  The area it can graze is
  • 50.18 sq cm
  • 50.28 sq cm
  • 50.38 sq cm
  • 50.48 sq cm
A circular disc of radius 10 cm is divided into sectors with  angles $$120^{\circ}$$ and $$150^{\circ}$$ then  the ratio of the area of two  sectors is
  • 4 : 5
  • 5 : 4
  • 2 : 1
  • 8 : 7
If circumference of a circle is $$110\ cm$$, then its diameter is
  • $$\cong \ 25 \ cm$$
  • $$\cong  15\ cm$$
  • $$\cong  20 \ cm$$
  • $$35 \ cm$$
Semi-circular lawns are attached to the edges of a rectangular field measuring $$42 \ m \times 35\  m$$. The area of the total field is:
  • $$3818.5 m^{2}$$
  • $$8318 m^{2}$$
  • $$5813 m^{2}$$
  • $$1358 m^{2}$$
The figure is made up of an isosceles triangle and a semi-circle. Find the perimeter of the figure.

103283.png
  • $$2(7-2\pi ) cm. $$
  • $$(7+2\pi ) cm. $$
  • $$2(7+2\pi ) cm. $$
  • $$(7-2\pi ) cm. $$
The number of revolutions made by a wheel of diameter $$56 cm$$ in covering a distance of $$1.1 km$$ is $$\left ( Use \pi = \frac{22}{7} \right )$$
  • $$31.25$$
  • $$56.25$$
  • $$625$$
  • $$62.5$$
Find the area enclosed between the circles. Given that each circle is having a radius of $$2\ cm.$$

103316_5e97a3c9d615465b888742e93f318cf4.png
  • $$4\sqrt{3}\ cm^{2}$$
  • $$(2\sqrt{3}-\pi )\ cm^{2}$$
  • $$2\sqrt{3}-2\pi )\ cm^{2}$$
  • $$2(2\sqrt{3}-\pi )\ cm^{2}$$
In the figure, if the $$\angle AOB=60^{\circ}$$ and radius is $$12 $$cm, then find the area of the segment AXB.$$(\pi =3.14,\:\sqrt{3}=1.73)$$ 


181714_4fddef717eee4b95ae74f25bb8dd53da.png
  • $$14$$
  • $$13.08$$
  • $$12$$
  • $$3.14$$

The radius of a circle is $$7 cm$$, then area of the sector of this circle if the corresponding angle is:
$$3$$ right angles.
  • $$120. cm^2$$
  • $$115.5 cm^2$$
  • $$150. cm^2$$
  • $$130. cm^2$$
The radius of a circle is $$7 cm$$, then area of the sector of this circle if the corresponding angle is:$$210^{\circ}$$ is 
  • $$88.83 \,cm^2$$
  • $$87.83 \,cm^2$$
  • $$89.83 \,cm^2$$
  • $$86.83 \,cm^2$$
The diameter of a circle is $$10$$ cm, then find the length of the arc, when the corresponding central angle is $$180^{\circ}$$.  $$(\pi =3.14)$$
  • $$15.7$$
  • $$16$$
  • $$3.14$$
  • $$18$$
The radius of a circle is $$7 cm$$, then area of the sector of this circle if the corresponding angle is $$30^{\circ}$$ is 
  • $$12.83 \,cm^2$$
  • $$11.83 \,cm^2$$
  • $$12.25 \,cm^2$$
  • None of these
The diameter of a circle is $$10$$ cm, then find the length of the arc, when the corresponding central angle is $$144^{\circ}$$.$$(\pi =3.14)$$
  • $$44$$ cm
  • $$12.56$$ cm
  • $$12$$ cm
  • $$88$$ cm
Find the perimeter and area of the shaded region shown in the figure. The four corners are circle quadrants and at the centre, there is a circle.
[Take $$\pi \, =\, 3.14$$]
242177.jpg
  • Perimeter = 20.56 cm
  • Area = 9.72 $$cm^2$$
  • Area = 20.56 $$cm^2$$
  • Perimeter = 9.72 cm
A garden is in the shape of a square with a semicircle on one of its sides. The side of the square is $$7$$ m. What is the area of the garden in sq. m.?
264973_8a12448ddcd64f82a6cd8dd3947fc162.png
  • $$\displaystyle 68\frac{1}{4}$$
  • $$49$$
  • $$\displaystyle 58\frac{5}{8}$$
  • $$70$$
The radius of the circle
242099_e06ae5f5c30444fdb9e016d1b3c8aede.png
  • $$6\ cm$$
  • $$7.5\ cm$$
  • $$4\ cm$$
  • $$5\ cm$$
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