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Quantitative Aptitude Practice Geometry Study Material

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Properties of Circle

If a perpendicular falls on a chord from the center of the circle, it will divide the chord in two ___________.

a) Different parts
b) Equal parts
c) Sometimes
d) None of these

✔Answer

Correct Answer Is : Equal parts

Solution Is :

In the fig, find the Radius OT, if AT=10cm and AO=6cm(AT is tangent)

a) 5cm
b) 6cm
c) 7cm
d) 8cm

✔Answer

Correct Answer Is : 8cm

Solution Is :

What is the formula of Area of Circle?

a) ∏r∧2
b) 2∏r
c) 2∏r∧2
d) 3∏r∧2

✔Answer

Correct Answer Is : ∏r∧2

Solution Is :

The number of common tangents that can be drawn for two externally tangent circles is

a) 1
b) 2
c) 3
d) 4

✔Answer

Correct Answer Is : 3

Solution Is :

Given the circle at the right with designated center, designated perpendicular, and radius 5. Find the length of the segment labeled x

a) 8 cm
b) 7 cm
c) 5 cm
d) 4 cm

✔Answer

Correct Answer Is : 4 cm

Solution Is :

In the same circle, or congruent circles, congruent central angles have congruent arcs.

a) TRUE
b) FALSE
c) Sometimes true or Sometimes false
d) None of these

✔Answer

Correct Answer Is : TRUE

Solution Is :

If the diameter of a circle is 142.8 millimeters, then what is the radius?

a) 71.4
b) 72
c) 71.2
d) 72.4

✔Answer

Correct Answer Is : 71.4

Solution Is :

AD is a diameter of circle and AB is chord. If AD=28cm, AB=22cm, the distance of AB from the center of the circle is :

a) 3√11
b) 3√15
c) 3√13
d) 3√17

✔Answer

Correct Answer Is : 3√15

Solution Is :

If AB=7cm,BC=8cm and AB is perpendicular to BC, then the radius of the circle passing through the points A,B and C is :

a) √115
b) √117
c) √113
d) √114

✔Answer

Correct Answer Is : √113

Solution Is :

ABCD is a cyclic quadrilateral such that AB is a diameter of the circle circumscribing it and ?ADC=140, then ?BAC

a) 10 cm
b) 40
c) 30
d) 80

✔Answer

Correct Answer Is : 40

Solution Is :

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Quantitative Aptitude Practice Geometry Study Material

Properties of Circle

If a perpendicular falls on a chord from the center of the circle, it will divide the chord in two ___________.

Correct Answer Is : Equal parts

Solution Is :

In the fig, find the Radius OT, if AT=10cm and AO=6cm(AT is tangent)

Correct Answer Is : 8cm

Solution Is :

What is the formula of Area of Circle?

Correct Answer Is : ∏r∧2

Solution Is :

The number of common tangents that can be drawn for two externally tangent circles is

Correct Answer Is : 3

Solution Is :

Given the circle at the right with designated center, designated perpendicular, and radius 5. Find the length of the segment labeled x

Correct Answer Is : 4 cm

Solution Is :

In the same circle, or congruent circles, congruent central angles have congruent arcs.

Correct Answer Is : TRUE

Solution Is :

If the diameter of a circle is 142.8 millimeters, then what is the radius?

Correct Answer Is : 71.4

Solution Is :

AD is a diameter of circle and AB is chord. If AD=28cm, AB=22cm, the distance of AB from the center of the circle is :

Correct Answer Is : 3√15

Solution Is :

If AB=7cm,BC=8cm and AB is perpendicular to BC, then the radius of the circle passing through the points A,B and C is :

Correct Answer Is : √113

Solution Is :

ABCD is a cyclic quadrilateral such that AB is a diameter of the circle circumscribing it and ?ADC=140, then ?BAC

Correct Answer Is : 40

Solution Is :

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