Four circles each of radius a touch each other. The area between … - Vidyadip

MCQ

Four circles each of radius a touch each other. The area between them is :

A
$\frac{7}{6}\text{a}^2$
B
$\frac{6}{7}\text{a}$
✓
$\frac{6}{7}\text{a}^2$
D
None of these

✓

Answer

Correct option: C.

$\frac{6}{7}\text{a}^2$

Area of required region $=$ Area of square $- $ Area of $4$ quadrant
$\Rightarrow $ Area of required region $=2\text{(a)}^2-4\times\frac{1}{4}\times\frac{22}{7}\times\text{a}^2$
$=4\text{a}^2-\frac{22}{7}\text{a}^2$
$=\frac{6}{7}\text{a}^2\text{ sq.cm}$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "M.C.Q (1 Marks)" from Areas Related to a Circle→Areas Related to a Circle — all question types→Maths STD 10 question papers→CBSE Board STD 10 question papers→CBSE Board question paper generator→

Similar questions

In the given fraction, if $1$ is subtracted from the numerator and $2$ is added to the denominator, it become $\frac{1}{2}.$ If $7$ is subtracted from the numerator and $2$ is subtracted from the denominator, it become $\frac{1}{3}.$ The fraction is :

If two different dice are rolled together, the probability of getting an even number on both dice, is :

The distance between the points $A(0, 6)$ and $B(0, -2)$ is :

If the system of equations has infinitely many solutions, then:

2ax + (a + b)y = 28

The value of $a_{30}-a_{20}$ for the A.P. $2,7,12,17, \ldots$ is

The probability of getting $3$ head or $3$ tails in tossing a coin $3$ times is :

If the area of the triangle formed by the points $O(0,0), A\left(a^{x^2}, 0\right)$ and $B\left(0, a^{6 x}\right)$ is $\frac{1}{2 a^5}$ square units, then $x=$

If the 'less than' type ogive and 'more than' type ogive intersect each other at $(20.5,15.5)$ then the median of the given data is

$\left(3 \sin ^2 30^{\circ}-4 \cos ^2 60^{\circ}\right)$ is equal to:

Which of the following is a true statement?