CBSE Class 10 Mathematics Chapter 12 Areas Related to Circles Multiple Choice Questions with Answers. MCQ Class 10 Maths Areas Related to Circles with Answers was Prepared Based on Latest Exam Pattern. Students can solve NCERT Class 10 Mathematics Areas Related to Circles MCQs with Answers to know their preparation level.
Multiple Choice Questions - Set - 5
Question 1:
If the area of a circle is numerically equal to twice its circumference, then the diameter of the circle is
(a) 4 units
(b) n units
(c) 8 units
(d) 2 units
Correct Answer – (C)
⇒ r = 4
⇒ 2r = 8 units
Question 2 :
The radii of two circles are 4 cm and 3 cm respectively. The diameter of the circle having area equal to the sum of the areas of the two circles (in cm) is
(a) 5
(b) 7
(c) 10
(d) 14
Correct Answer – (C)
Question 3 :
The radii of two circles are 19 cm and 9 cm respectively. The radius of the circle which has circumference equal to the sum of the circumference of two circles is
(a) 35 cm
(b) 10 cm
(c) 21 cm
(d) 28 cm
Correct Answer – (D)
∴ r1 = 19 cm, r2 = 9 cm
Circumference of two circles = C1+ C2 …(where C = circle)
= 2πr1 + 2πr2 = 2π × 19 + 2π × 9 = 38π + 18π = 56π
∴ Circumference of large circle = 56π
⇒ 2πr = 56π
⇒ r = 28
∴ Radius of large circle = 28 cm
Question 4 :
The area of a circle is 154 cm2. Its diameter is
(a) 7 cm
(b) 14 cm
(c) 21 cm
(d) 28 cm
Correct Answer – (B)
Area of the circle = 154 cm² …(Given)
∴ πr² = 154
⇒ 22/7 × r² = 154
⇒ r² = 154 × 7/22 = 7 × 7
⇒ r = 7 cm
∴ Diameter of the circle = 2 × r = 2 × 7 = 14 cm
Question 5 :
The area of the sector of a circle with radius 6 cm and of angle 60° is
(a) 9.42 cm²
(b) 37.68 cm²
(c) 18.84 cm²
(d) 19.84 cm²
Correct Answer – (C)
Question 6 :
The perimeter (in cm) of a square circumscribing a circle of radius a cm, is
(a) 8 a
(b) 4 a
(c) 2 a
(d) 16 a
Correct Answer – (A)
Side of a square circumscribing a circle of radius a cm = diameter of circle = 2 a cm
∴ Perimeter of the square
= 4 × 2a = 8a cm
Question 7 :
The area of the circle that can be inscribed in a square of side 6 cm, is
(a) 18π cm²
(b) 12π cm²
(c) 9π cm²
(d) 14π cm²
Correct Answer – (C)
Area of the circle = πr² = π × 3 × 3 = 9π cm²
Question 8 :
The length of the minute hand of a clock is 14 cm. The area swept by the minute hand in 5 minutes is
(a) 153.9 cm²
(b) 102.6 cm²
(c) 51.3 cm²
(d) 205.2 cm²
Correct Answer – (C)
∴ θ = 30°
∴ Angle swept by the minute hand in 5 minutes = 6° × 5 = 30°
Length of minute hand (r) = 14 cm
∴ Area swept = θ/360
Question 9 :
The area of a circle whose circumference is 22 cm, is
(a) 11 cm²
(b) 38.5 cm²
(c) 22 cm²
(d) 77 cm²
Correct Answer – (B)
Question 10 :
The area of the circle whose diameter is 21 cm is
(a) 346.5 cm²
(b) 37.68 cm²
(c) 18.84 cm²
(d) 19.84 cm²
