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 - 3
Question 1:
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
(A) The angle of the corresponding sector of the first circle is half the angle of the corresponding sector of the other circle.
(B) The angle of the corresponding sector of the first circle is equal the angle of the corresponding sector of the other circle.
(C) The angle of the corresponding sector of the first circle is double the angle of the corresponding sector of the other circle.
(D) The angle of the corresponding sector of the first circle is 4 times the angle of the corresponding sector of the other circle.
Correct Answer – (C)
Question 2 :
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
Correct Answer – (C)
According to question,
Circumference of circle = Circumference of first circle + Circumference of second circle
πD = πd1 + πd2
D = 36 + 20
D = 56cm
So, Radius = 56/2 = 28cm
Question 3 :
The area of the circle that can be inscribed in a square of side 6 cm is
(A) 36 π cm2
(B) 18 π cm2
(C) 12 π cm2
(D) 9 π cm2
Correct Answer – (D)
Side of square = 6 cm
Diameter of a circle = side of square = 6cm
Therefore, Radius of circle = 3cm
Area of circle
= πr2
= π (3)2
= 9π cm2
Question 4 :
If the perimeter of a circle is equal to that of a square, then the ratio of their areas is:
(A) 22:7
(B) 14:11
(C) 7:22
(D) 11:14
Correct Answer – (B)
Question 5 :
If the circumference of a circle and the perimeter of a square are equal, then
(A) Area of the circle = Area of the square
(B) Area of the circle > Area of the square
(C) Area of the circle < Area of the square
(D) Nothing definite can be said about the relation between the areas of the circle and square.
Correct Answer – (B)
Question 6 :
The diameter of a circle whose area is equal to the sum of the areas of the two circles of radii 24 cm and 7 cm respectively, is
(A) 31 cm
(B) 25 cm
(C) 62 cm
(D) 50 cm
Correct Answer – (D)
Question 7 :
The area of the square that can be inscribed in a circle of radius 8 cm is
(A) 256 cm2
(B) 128 cm2
(C) 642 cm2
(D) 64 cm2
Correct Answer – (B)
Radius of circle = 8 cm
Diameter of circle = 16 cm = diagonal of the square
Therefore side of square = diagonal/√2
= 16/√2
Therefore, are of square is = (side)2 = (16/√2)2
= 256/2
= 128 cm2
Question 8 :
It is proposed to build a single circular park equal in area to the sum of areas of two circular parks of diameters 16 m and 12 m in a locality. The radius of the new park would be
(A) 10 m
(B) 15 m
(C) 20 m
(D) 24 m
Correct Answer – (A)
Area of first circular park, whose diameter is 16m
= πr2 = π (16/2)2 = 64π m2
Area of second circular park, whose diameter is 12m
= πr2 = π (12/2)2 = 36π m2
According to question,
Area of new circular park =
πR2 = (64π + 36π) m2
πR2 = 100π m2
R = 10m
Question 9 :
Area of the largest triangle that can be inscribed in a semi-circle of radius r units, in square units is:
(A) r2
(B) 1/2r2
(C) 2 r2
(D) √2r2
Correct Answer – (A)
Question 10 :
If the sum of the areas of two circles with radii R1 and R2 is equal to the area of a circle of radius R, then
(A) R1 + R2 = R
(B) R12 + R22 = R2
(C) R1 + R2 < R
(D) R12 + R22 < R2
Correct Answer – (B)
According to given condition,
Area of circle = Area of first circle + Area of second circle
πR2 = πR12 + πR22
R2 = R12 + R22
