Topics

General Knowledge
General Science
General English
Aptitude
General Computer Science
General Intellingence and Reasoning
Current Affairs
Exams
Elementary Mathematics
English Literature

Area of the shaded portion in the given figure, where the arcs are quadrants of a circle, is

A) \( \Large 42\ m^{2} \)
B) \( \Large 56\ m^{2} \)
C) \( \Large 64\ m^{2} \)
D) \( \Large 144\ m^{2} \)

Correct Answer:

A) \( \Large 42\ m^{2} \)

Description for Correct answer:
Required area = Area of square -4 x area of one sector

= \( \Large 14 \times 14-4 \times \frac{1}{4} \pi \times 7^{2} \)

= \( \Large 196 - 4 \times \frac{1}{4} \times \frac{22}{7} \times 7 \times 7 \)

= \( \Large 196\ -\ 154 \)

= \( \Large 42\ m^{2} \)

Part of solved Loci and concurrency questions and answers : >> Elementary Mathematics >> Loci and concurrency

Comments

Similar Questions

1). In the given figure, PQ is tangent at A; BC is the diameter. If \( \Large \angle ABC = 42 ^{\circ}.\ then\ \angle PAB \) is equal to

A). \( \Large 21 ^{\circ} \)

B). \( \Large 42 ^{\circ} \)

C). \( \Large 48 ^{\circ} \)

D). \( \Large 84 ^{\circ} \)

2). If length of the tangent from origin to the circle \( \Large x^{2}+y^{2}-26x+K=0\ is\ 5 \), then K is equal to

A). \( \Large \sqrt{5} \)

B). 5

C). 10

D). 25

3). If area of the given circle is \( \Large 100 \pi \) square cm, then side of the square inscribed in the circle is

A). 10 cm

B). \( \Large 10\sqrt{2}\ cm \)

C). 20 cm

D). \( \Large 20\sqrt{2}\ cm \)

4). The middle points of all chords (each having the same length) of a circle lie on a

A). rectangle

B). square

C). circle

D). parallelogram

5). Area of the shaded portion in the given figure is \( \Large \left(x = \frac{22}{7}\right) \)

A). 42 sq. cm

B). 48 sq. cm

C). 76 sq. cm

D). 152 sq. cm

6). A circle A has a radius of 3 cm, two circles B and C have a radius each equal to diameter of the circle A. The radius of a circle D which has an area equal to the total area of A, B and C, is

A). 9 cm

B). 12 cm

C). 15 cm

D). 18 cm

7). If straight line \( \Large y = x+c \) is a tangent to the circle \( \Large x^{2}+y^{2}=1 \), then c is equal to

A). \( \Large \pm \sqrt{2} \)

B). \( \Large \pm 2 \)

C). \( \Large \pm 1 \)

D). \( \Large \pm 3 \)

8). The equation, \( \Large ax^{2}+2hxy+b^{2}+2gx+2fy+c=0 \) represents a circle if

A). \( \Large h^{2} = ab \)

B). \( \Large a = b \)

C). \( \Large h^{2}+ab = 0 \)

D). \( \Large a = b\ and\ h = 0 \)

9). Consider following statements relating to the chords and arcs of a circle :
1. Equal chords are equidistant from the centre.
2. Between two arcs, the one that subtends a larger angle at the centre is larger.
3. If two arcs are of the same length, so are the chords joining their extremities.
Of these statements :

A). 1 and 2 are correct

B). 2 and 3 are correct

C). 1 and 3 are correct

D). 1, 2 and 3 are correct

10). Sum of the diamters of two circles is 35 cm and difference of their circumferences is 22 cm. Then area of the smaller circle will be

A). 121 sq. cm

B). 144 sq. m

C). 154 sq. cm

D). 308 sq. m