CBSE Class 10 Mathematics Areas related to circles MCQs Set 02

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