Geometry Questions and Answers for Your Practice
If the perimeter of a rhombus is 80 cm and one of its diagonals is 24 cm, then what is the are (in cm2) of the rhombus?
(A) 218
(B) 192
(C) 384
(D) 768
Correct Answer : C
PAB and PCD are two secants to a circle . If PA 10 cm , AB = 12 cm and PC = 11 cm , then what is the value ( in cm ) of PD ?
(A) 18
(B) 9
(C) 20
(D) 12
Correct Answer : C
In any triangle ABC, AB + BC = 12 cm, BC + CA = 14 cm and CA + AB = 18 cm. What will be length of radius of a circle, if the perimeter of circle is equal to the perimeter of triangle ABC?
(A) 2 cm
(B) 3.5 cm
(C) 1.5 cm
(D) None of these
Correct Answer : B
Triangle PQR is inscribed in a circle such that P, Q and R lies on the circumference . If PQ is the diameter of the circle and ∠PQR = 40 ° , then what is the value ( in degrees ) of ∠QPR ?
(A) 40
(B) 45
(C) 50
(D) 55
Correct Answer : C
In the given figure, SX is tangent. SX = OX = OR. If QX=3 cm and PQ = 9 cm. then what is the value (in cm) of OS?
(A) 6
(B) 5
(C) 4
(D) 3
Correct Answer : D
A circle with radius 42 cm is drawn. What will be length of arc of a sector subtending an angle of 60 degrees at the Centre?
(A) 44 cm
(B) 22 cm
(C) 66 cm
(D) 88 cm
Correct Answer : A
In the given figure ABC is an equilateral triangle. Two circles of radius 4 cm and 12 cm are inscribed in the triangle. What is the side (in cm) of an equilateral triangle?
(A) $$ {10{\sqrt{3}}}$$
(B) $$ {14{\sqrt{3}}}$$
(C) 24
(D) $$ {24{\sqrt{3}}}$$
Correct Answer : D
The area of a rhombus is 144 square units. The length of one of its diagonals is twice the length of other diagonal. What is the sum of length of its diagonals?
(A) 12 units
(B) 18 units
(C) 24 units
(D) 36 units
Correct Answer : D
If the area of a circle is 9π sq.cm then it circumference is
(A) 9 cm
(B) 6 π cm
(C) 3π cm
(D) 6 cm
Correct Answer : B
What is the measure of the circum radius of a triangle whose sides are 9cm, 40cm and 41cm?
(A) 6 cm
(B) 4 cm
(C) 20.5 cm
(D) 24.5 cm
Correct Answer : C