CBSE Questions for Class 10 Maths Areas Related To Cricles Quiz 5 - MCQExams.com

The areas of two sectors of two different circles are equal. Is it necessary that their corresponding arc lengths are equal ? Why ?
  • True
  • False
Is the area of circle inscribed in a square of side $$a \,cm, \pi a^2 \,cm^2 ?$$ Give reasons for your answer.
  • True
  • False
The area of two sectors of two different circles with equal corresponding arc length are equal. Is this statement true ? Why ?
  • True
  • False
If the length of an arc of a circle of radius r is equal to that of an arc of a circle of radius $$2r,$$ then the angle of the corresponding sector of the first circle is double the angle of the corresponding sector of other circle. Is this statement false ? Why ?
  • True
  • False
The center of the circle lies
  • in the interior of the circle
  • in the exterior of the circle
  • on the circle
  • None of these
The shaded portion of the circle represents
1947267_d161effae9514db8b3ced8876e3b4a97.png
  • Semicircle
  • Diameter
  • A sector of the circle
  • Segment
A chord divides a circle into two
  • Diameter
  • Semicircle
  • Sectors
  • Segments
In the given figure, $$r$$ represents
1947264_d4a71b676414406a8636fcf2ece59421.png
  • Radius
  • Diameter
  • Tangent
  • Chord
In the adjoining figure, $$18 in$$ is the length of 
1947265_d8b11bc7b59945ad83da127ca0aec64c.png
  • Radius
  • Diameter
  • Any chord other than the diameter
  • None of these
An arc is a part of a circle.
  • True
  • False
In the figure given above, radius of a greater circle is $$r\ cm$$. Find the area of non-shaded portion
615228_5f923b1b52f54948abbec332757f8b90.png
  • $$\dfrac {9\pi r^{2}}{16} sq. cm$$
  • $$\dfrac {3\pi r^{2}}{4} sq. cm$$
  • $$2\pi r^{2} sq. cm$$
  • $$\dfrac {4\pi r^{2}}{3} sq. cm$$
Find the area of sector when its area is $$6cm$$ and radius $$5cm$$
  • $$15$$ sq.cm
  • $$25$$ sq.cm
  • $$18$$ sq.cm
  • $$27$$ sq.cm
  • $$72$$ sq.cm
The radius of a circle is $$14$$ metres. A chord of this circle subtends an angle of $${60}^{o}$$ at the centre.  Find the area of the smaller segment cur off by the chord.
  • $$196\left( \cfrac { \pi }{ 6 } +\cfrac { \sqrt { 3 } }{ 4 } \right) $$
  • $$196\left( \cfrac { \sqrt { 3 } }{ 4 } -\cfrac { \pi }{ 6 } \right) $$
  • $$196\left( \cfrac { \pi }{ 6 } -\cfrac { \sqrt { 3 } }{ 4 } \right) $$
  • $$196\left( \cfrac { \pi }{ 2 } -\cfrac { \sqrt { 3 } }{ 4 } \right) $$
  • NONE OF THESE
A horse is tied to a pole fixed at one corner of a $$50m\times 50$$ square field of grass of means of a $$20m$$ long rope. What is the area of that part of the field which the horse can gaze?
  • $$1256{m}^{2}$$
  • $$942{m}^{2}$$
  • $$628{m}^{2}$$
  • $$314{m}^{2}$$
A rope by which a calf is tied is increased by $$12m$$ to $$23m$$. How much additional grassy ground shall it graze?
  • $$1020{m}^{2}$$
  • $$1120{m}^{2}$$
  • $$1210{m}^{2}$$
  • $$1021{m}^{2}$$
A rope by which a calf is tied is increased from $$12m$$ to $$23m$$. How much additional grassy ground shall it graze?
  • $$1200{m}^{2}$$
  • $$1250{m}^{2}$$
  • $$1210{m}^{2}$$
  • $$1225{m}^{2}$$
If the radius of a circle and the central angle are 21 cm and $$60^\circ $$ respectively, then the length of the arc is __________. 
  • 20 cm
  • 21 cm
  • 22 cm
  • 24 cm
The area of minor sector of $$\odot $$(0,10)isThe length of its corresponding arc is-----.
  • 15
  • 90
  • 60
  • 30
0:0:1


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