Topics

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

The ratio of the areas of the circumcircle and the incircle of a square is

A) 2 : 1
B) 1 : 2
C) \( \Large \sqrt{2}:1 \)
D) \( \Large 1:\sqrt{2} \)

Correct Answer:

A) 2 : 1

Description for Correct answer:

Ratio of the areas of the circumcircle and incircle of a square

=\( \Large \frac{(Diagonal)^{2}\pi}{(Side)^{2}\pi}=\frac{(Side\times \sqrt{2})^{2}}{(Side)^{2}}=\frac{2}{1} \)or 2:1

Part of solved Area and perimeter questions and answers : >> Elementary Mathematics >> Area and perimeter

Comments

Similar Questions

1). The circumferences of two circles are in the ratio 2 : 3. What is the ratio of their areas?

A). 2 : 3

B). 4 : 9

C). 1 : 3

D). 8 : 27

2). Consider the following statements
Area of segment of a circle is less than area of its corresponding sector.
Distance travelled by a circular Wheel of diameter 2d cm in one revolution is greater than 6d cm.
Which of the above statements is/are correct?

A). Only I

B). Only II

C). Both I and II

D). Neither I nor II

3). The radius of a circle is so increased that its circumference increased by 5%. The area of the circle, then increases by

A). 12.5%

B). 10.25%

C). 10.5%

D). 11.25%

4). The area of a circle is increased by 22 sq cm when its radius is increased by 1 cm. Find the original radius of the Circle.

A). 6 cm

B). 3.2 cm

C). 3 cm

D). 3.5 cm

5). What is the area of the larger segment circle formed by a chord of, length 5 cm subtending an angle of 90 degree at the centre?

A). \( \Large \frac{25}{4}\left(\frac{\pi}{2}+1\right)cm^{2} \)

B). \( \Large \frac{25}{4}\left(\frac{\pi}{2}-1\right)cm^{2} \)

C). \( \Large \frac{25}{4}\left(\frac{3\pi}{2}+1\right)cm^{2} \)

D). None of the above

6). A person observed that he required 30 s time to cross a circular ground along its diameter than to cover it once along the boundary. If his speed was 30m/min, then the radius of the circular ground is \( \Large (take \ \pi = 22/7) \)

A). 10.5 m

B). 3.5 m

C). 5.5 m

D). 7.5 m

7). What is the total area of three equilateral triangles inscribed in a semi-circle of radius 2cm?

A). \( \Large 12 cm^{2} \)

B). \( \Large \frac{3\sqrt{3}}{4}cm^{2} \)

C). \( \Large \frac{9\sqrt{3}}{4}cm^{2} \)

D). \( \Large 3 \sqrt{3}cm^{2} \)

8). How many circular plates of diameter d be taken out of a square plate of side 2d with minimum loss of material?

A). 8

B). 6

C). 5

D). 2

9). What is the area of a circle whose area is equal to that of a triangle with sides 7 cm, 24 cm and 25 cm?

A). \( \Large 80 cm^{2} \)

B). \( \Large 84 cm^{2} \)

C). \( \Large 88 cm^{2} \)

D). \( \Large 90 cm^{2} \)

10). A circle of radius 10 cm has an equilateral triangle inscribed in it. The length of the perpendicular drawn from the centre to any side of the triangle is

A). \( \Large 2.5\sqrt{3} \)cm

B). \( \Large 5\sqrt{3} \)cm

C). \( \Large 10\sqrt{3} \)cm

D). None of these