Circles Review – Fundamentals of Circles, Formulas for Circle, Congruent Circles, Tangent to a circle, Polygon inscribed in a Circle , Circle inscribed in a circle, Concentric Circles
Class Questions – Exercise 1 Exercise 2 Exercise 3 Exercise 4 Exercise 5
Practice Questions – Solutions
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Q.1 In the following figure circle C1 circumscribed a square and again that square circumscribed another circle C2. What is ratio of the area of Circle C1 to Circle C2
A. π – 1
B. 2π
C. 4/√2
D. 4π – 3
E. 2
Q.2
In the below figure a circle is inscribed in a Quadrilateral PQRS, then a + b =?
A. 200
B. 150
C. 125
D. 210
E. 305
Q.3
In the above figure four congruent circles having radius ‘a’ with center A, B, C and D are tangent to each other. Then what is the area of shaded region?
A. a2 (4 + π)
B. (4π – π)
C. 44 – a2
D. a2 (4 – π)
E. 16
Q.4
XY = AB = Diameter of circle with center O.
Quantity A Quantity B
m n
A. If Quantity A is greater
B. If Quantity B is greater
C. If Quantity A and Quantity B are equal
D. The relationship cannot be determined from given information
Q.5 If 12 hour ancient circular wall clock’s needle moves from 2 o’ clock to 5 o’ clock, then how much distance it will cover if radius of clock is equal to length of hour needle , which is 8.
A. 4π
B. 2π + 9
C. 69 +π2
D. (81 – 3) π2
E. 9π+7
Q.6 In the below figure K is the center of Circle.
Quantity A Quantity B
Radius of Circle 25
A. If Quantity A is greater
B. If Quantity B is greater
C. If Quantity A and Quantity B are equal
D. The relationship cannot be determined from given information
Q. 7 In the following figure L is center of circle;
Quantity A Quantity B
x 55
A. If Quantity A is greater
B. If Quantity B is greater
C. If Quantity A and Quantity B are equal
D. The relationship cannot be determined from given information
Q.8
In the above figure if DF = k, which is double the radius of each circle. ‘D’ and ‘F’ are center of circles respectively. Then what is the area of shaded region?
A. πk4
B. 4(-k)
C. πk²/4
D. ½ kπ2
E. π k²/ 24
Q.9 Two circles each having diameters ‘j’ are inscribed in a rectangle PQRS.
