Refer to CBSE Class 10 Mathematics Areas related to circles MCQs Set B provided below available for download in Pdf. The MCQ Questions for Class 10 Mathematics with answers are aligned as per the latest syllabus and exam pattern suggested by CBSE, NCERT and KVS. Chapter 12 Areas Related to Circles Class 10 MCQ are an important part of exams for Class 10 Mathematics and if practiced properly can help you to improve your understanding and get higher marks. Refer to more Chapter-wise MCQs for CBSE Class 10 Mathematics and also download more latest study material for all subjects
MCQ for Class 10 Mathematics Chapter 12 Areas Related to Circles
Class 10 Mathematics students should refer to the following multiple-choice questions with answers for Chapter 12 Areas Related to Circles in Class 10.
Chapter 12 Areas Related to Circles MCQ Questions Class 10 Mathematics with Answers
Question. If the radius of a circle is 7/√7 cm, find the area of the circle.
(a) 154 cm2
(b) 49/π cm2
(c) 22 cm2
(d) 49 cm2
Answer: D
Question. If the ratio of circumference of two circles is 4:9, what is the ratio of their respective areas?
(a) 9:4
(b) 16:81
(c) 4:9
(d) 2:3
Answer: B
Question. The length of the minute hand of a wall clock is 21 cm long. What is the area swept by it in 10 minutes?
(a) 231 cm2
(b) 221 cm2
(c) 210 cm2
(d) 200 cm2
Answer: A
Question. By The shaded part of the given figure shows a running track in a stadium.
Find the area of the track. (Take π = 22/7)
(a) 2058 m2
(b) 1546 m2
(c) 3514 m2
(d) 1923 m2
Answer: A
Question. The length of the minute hand of a wallclock is 21 cm long. What is the area swept by it in 10 minutes?
(a) 231 cm2
(b) 221 cm2
(c) 210 cm2
(d) 200 cm2
Answer: A
Question. The circumference of a circle exceeds its diameter by 30 cm. Find the radius of the circle.
(a) 7 cm
(b) 14 cm
(c) 21 cm
(d) 28 cm
Answer: A
Question. The figure given is made up of a rectangle, 2 identical semicircles and a quadrant.
Find the unshaded area of the figure. (Use π = 22/7) .
(a) 1350 cm2
(b) 1154 cm2
(c) 1400 cm2
(d) 1260 cm2
Answer: D
Question. If the length of the arc of a circle having a central angle 36° is 22 cm, what is the area of the circle?
(a) 3580 cm2
(b) 3850 cm2
(c) 3058 cm2
(d) 3805 cm2
Answer: B
Question. Find the area of a segment of a circle of radius 21 cm if the angle made by the arc of the segment has a measure of 600 .
(a) 45.27 cm2
(b) 40.27 cm2
(c) 40.8 cm2
(d) 44.27 cm2
Answer: B
Question. The given figure shows two identical circles and a rectangle.
What is the unshaded area of the figure in cm2 ? (Takeπ = 3.14 .)
(a) 40
(b) 43
(c) 25
(d) 33
Answer: B
Question. The area of a circle whose area and circumference are numerically equal is
(a) 2π sq. units
(b) 4π sq. units
(c) 6π sq. units
(d) 8π sq. units
Answer: B
Question. If the area of circle is 1386 cm2, then its circumference is
(a) 66 cm
(b) 88 cm
(c) 132 cm
(d) 264 cm
Answer: C
Question. The figure shows an isosceles triangle and a semicircle with centre O.
Given that the radius of the semicircle is 2.8 cm, find the perimeter of the given figure.
(a) 15.6 cm
(b) 18.8 cm
(c) 16.8 cm
(d) 20.4 cm
Answer: B
Question. If the circumference of a circle is 30/π the diameter of the circle?
(a) 60π
(b) 15π
(c) 30π2
(d) 30
Answer: C
Question. If the area of a circle is 154 cm2, then its perimeter is
(a) 11 cm
(b) 22 cm
(c) 44 cm
(d) 55 cm
Answer: C
Question. The figure given is made up of a circle and 3 identical semicircles. 0 is the centre of the circle and XY is the diameter of the circle.
Given that XY is 28 cm, find the perimeter of the shaded part of the figure. (Use π = 22/7.)
(a) 67 cm
(b) 50 cm
(c) 80 cm
(d) 15 cm
Answer: C
Question. The area of the square that can be inscribed in a circle of radius 8 cm is
(a) 256 cm2
(b) 128 cm2
(c) 64 √2 cm2
(d) 64 cm2
Answer: B
Question. The radius of a circle whose circumference is equal to the sum of the circumferences of the two circles of diameters 36 cm and 20 cm is
(a) 56 cm
(b) 42 cm
(c) 28 cm
(d) 16 cm
Answer: C
Question. The perimeter of a sector of a circle with central angle 90° is 25 cm. Then the area of the minor segment of the circle is.
(a) 14 cm2
(b) 16 cm2
(c) 18 cm2
(d) 24 cm2
Answer: A
Question. 4 identical semicircles are drawn inside a big square as shown. Each side of the big square is 14cm long.
Find the area of the shaded region. (Use π = 22/7.)
(a) 125 cm2
(b) 112 cm2
(c) 173 cm2
(d) 159 cm2
Answer: B
Question. The sum of the areas of two circles, which touch each other externally, is 153 π. If the sum of their radii is 15, then the ratio of the larger to the smaller radius is
(a) 4 : 1
(b) 2 : 1
(c) 3 : 1
(d) None of the options
Answer: A
Question. If the perimeter of a semi-circular protractor is 36 cm, then its diameter is
(a) 10 cm
(b) 14 cm
(c) 12 cm
(d) 16 cm
Answer: B
Question. The area of a sector of angle p (in degrees) of a circle with radius R is
(a) p/360°×2πR
(b) p/180°×πR2
(c) p/720°×2πR
(d) p/720°×2πR2
Answer: D
Question. Mrs. Vidya bought a piece of cloth as shown in the figure. The portion of the cloth that is not coloured consists of 6 identical semicircles.
Find the area of the coloured portion.
(a) 144 cm2
(b) 126 cm2
(c) 195 cm2
(d) 243 cm2
Answer: B
Question. A race track is in the form of a ring whose inner and outer circumference are 437m and 503m respectively. The area of the track is
(a) 66 sq. cm
(b) 4935 sq. cm
(c) 9870 sq. cm
(d) None of these
Answer: B
Question. Which of the following statement is/are not correct?
(a) A chord divides the interior of a circle into two parts.
(b) An arc of a circle whose length is less than that of a semicircle of the same circle is a called a minor arc.
(c) Circles having the same centre but different radii are called concentric circles.
(d) A line segment joining any two points of a circle is called an arc.
Answer: D
Question. In the adjoining figure, OABC is a C square of side 7 cm. OAC is a quadrant of a circle with O as centre. The area of the shaded region is
(a) 10.5 cm2
(b) 38.5 cm2
(c) 49 cm2
(d) 11.5 cm2
Answer: A
Question. If the sum of the circumferences of two circles with diameters d1 and d2 is equal to the circumference of a circle of diameter d, then
(a) d12 + d22 = d2
(b) d1 + d2 = d
(c) d1 + d2 > d
(d) d1 + d2 < d
Answer: B
Question. Find area of minor segment made by a chord which subtends right-angle at the centre of a circle of radius 10 cm.
(a) 24.5 cm2
(b) 25.5 cm2
(c) 24.5 cm2
(d) 28.5 cm2
Answer: D
Fill in the Blanks :
Question. Circumference of a circle is ……………… .
Answer: 2πr.
Question. The area of a circle is the measurement of the region enclosed by its …………….. .
Answer: boundary
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CBSE Class 10 Mathematics Probability MCQs Set B |
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MCQs for Chapter 12 Areas Related to Circles Mathematics Class 10
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