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Areas Related to Circles

10th Class - CBSE - Mathematics - 1562 Questions - 0 Concepts

Important Questions

Q1 Single Correct Hard
The areas of two sectors of two different circles with equal corresponding arc lengths are equal. The given statement is :
  • A. False, since it requires the condition: $$ 2{ { r }_{ 1 } }^{ 2 }<{ { r }_{ 2 } }^{ 2 }$$
  • B. True, since given that $$2{ { r }_{ 1 } }^{ 2 }={ { r }_{ 2 } }^{ 2 }$$
  • C. True, since given that $$2{ { r }_{ 1 } }^{ 2 }>{ { r }_{ 2 } }^{ 2 } $$
  • D. False, since it requires the condition: $$2{ { r }_{ 1 } }^{ 2 }={ { r }_{ 2 } }^{ 2 }$$

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1 Verified Answer | Published on 07th 09, 2020

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Q2 Subjective Hard
In the given figure O is the centre of circle of radius $$28$$ cm. Find the area of the minor segment ASB.

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1 Verified Answer | Published on 07th 09, 2020

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Q3 Single Correct Hard
Two circles, each of unit radius, are so drawn that the  centre of each lies on  the circumference of the  other. The area of the  region, common to both the circles, is
  • A. $$\left ( \frac{4\pi -3\sqrt{3}}{12} \right )$$
  • B. $$\left ( \frac{4\pi -6\sqrt{3}}{12} \right )$$
  • C. $$\left ( \frac{4\pi -6\sqrt{3}}{6} \right )$$
  • D. $$\left ( \frac{4\pi -3\sqrt{3}}{6} \right )$$

Asked in: Mathematics - Areas Related to Circles


1 Verified Answer | Published on 07th 09, 2020

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Q4 Subjective Hard
The given figuer shows a rectangle ABCD inscribed in a circle as shown alongside.
If AB=28 cm and BC=21 cm, find the area of the shaded portion of the given figure.

Asked in: Mathematics - Areas Related to Circles


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Q5 Subjective Hard
The radius of a circle is $$9\ cms$$. Find the length of an arc of this circle which cuts off a chord of length equal to length of radius.

Asked in: Mathematics - Areas Related to Circles


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Q6 Single Correct Hard
A wheel with a rubber tyre has an outside diameter of $$25$$cm. When the radius has been decreased a quarter of a centimetre, the number of revolutions of the wheel in one metre will:
  • A. be increased about $$1\%$$
  • B. be increased about $$20\%$$
  • C. be increased $$1/2\%$$
  • D. remain the same
  • E. be increased about $$2\%$$

Asked in: Mathematics - Areas Related to Circles


1 Verified Answer | Published on 07th 09, 2020

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Q7 Single Correct Hard
If a bicycle wheel makes $$5000$$ revolution in moving $$11$$ km, then diameter of wheel is
  • A. $$110$$ cm
  • B. $$120$$ cm
  • C. $$100$$ cm
  • D. $$70 $$ cm

Asked in: Mathematics - Areas Related to Circles


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Q8 Single Correct Hard
The perimeter of a quadrant of a circle of radius $$\dfrac{7}{2}$$ cm is:
  • A. $$3.5 cm$$
  • B. $$5.5 cm$$
  • C. $$7.5 cm$$
  • D. $$12.5 cm$$

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1 Verified Answer | Published on 07th 09, 2020

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Q9 Single Correct Hard
In the diagram, O is the centre of the circle. Find the value of $$x$$.
  • A. $$123^o$$
  • B. $$69^o$$
  • C. $$49^o$$
  • D. $$111^o$$

Asked in: Mathematics - Areas Related to Circles


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Q10 Single Correct Hard
A sphere with diameter $$50$$ cm intersects a plane $$14$$ cm from the center of the sphere. What is the number of square centimeters in the area of the circle formed?
  • A. $$49\pi$$
  • B. $$196\pi$$
  • C. $$576\pi$$
  • D. $$2304\pi$$
  • E. $$429\pi$$

Asked in: Mathematics - Areas Related to Circles


1 Verified Answer | Published on 07th 09, 2020

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Questions 122475
Subjects 10
Chapters 93
Enrolled Students 65
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