(D) From the figure,it can be observed that the side of the square is $3 \times (2 \times 7) = 42\, cm$.Area of square $= (\text{Side})^2 = (42)^2 = 1

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(D) From the figure,it can be observed that the side of the square is $3 \times (2 \times 7) = 42\, cm$.Area of square $= (\text{Side})^2 = (42)^2 = 1764\, cm^2$.Area of one circle $= \pi r^2 = \frac{22}{7} \times (7)^2 = 154\, cm^2$.Area of $9$ circles $= 9 \times 154 = 1386\, cm^2$.Area of the remaining portion of the handkerchief $= \text{Area of square} - \text{Area of } 9 \text{ circles} = 1764 - 1386 = 378\, cm^2$.

Class 10 Mathematics Areas Related to Circles Areas of Sector and Segment of a Circle

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On a square handkerchief,nine circular designs each of radius $7\, cm$ are made (see figure). Find the area of the remaining portion of the handkerchief. (in $cm^2$) $\left[\right.$ Use $\left.\pi=\frac{22}{7}\right]$

A
$154$
B
$907$
C
$1386$
D
$378$

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Areas Related to Circles

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Areas of Sector and Segment of a Circle

In $\odot(O, 6)$, $\widehat{ABC}$ is a major arc and $m \angle AOC = 60^{\circ}$. Then, the length of major $\widehat{ABC}$ is ........... (in $\pi$)

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$A$ chord of a circle of radius $10\, cm$ subtends a right angle at the centre. Find the area of the corresponding:
$(i)$ minor segment $\&$ $(ii)$ major sector. (Use $\pi=3.14$ )

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The length of the minute hand of a clock is $14 \, cm$. If the minute hand moves from $1$ to $10$ on the dial,then $\ldots \ldots \ldots \ldots \, cm^2$ area will be covered.

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In the given diagram,the shaded portion represents a flower bed in a plot. If $m \angle O = 90^\circ$,$OB = 21 \, \text{m}$,and $OD = 14 \, \text{m}$,find the area of the flower bed in $\text{m}^2$.

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If the radius of a circle is doubled,its area becomes $\ldots \ldots \ldots$ times the area of the original circle.

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On a square handkerchief,nine circular designs each of radius $7\, cm$ are made (see figure). Find the area of the remaining portion of the handkerchief. (in $cm^2$) $\left[\right.$ Use $\left.\pi=\frac{22}{7}\right]$

Similar Questions

In $\odot(O, 6)$, $\widehat{ABC}$ is a major arc and $m \angle AOC = 60^{\circ}$. Then, the length of major $\widehat{ABC}$ is ........... (in $\pi$)

$A$ chord of a circle of radius $10\, cm$ subtends a right angle at the centre. Find the area of the corresponding:$(i)$ minor segment $\&$ $(ii)$ major sector. (Use $\pi=3.14$ )

The length of the minute hand of a clock is $14 \, cm$. If the minute hand moves from $1$ to $10$ on the dial,then $\ldots \ldots \ldots \ldots \, cm^2$ area will be covered.

In the given diagram,the shaded portion represents a flower bed in a plot. If $m \angle O = 90^\circ$,$OB = 21 \, \text{m}$,and $OD = 14 \, \text{m}$,find the area of the flower bed in $\text{m}^2$.

If the radius of a circle is doubled,its area becomes $\ldots \ldots \ldots$ times the area of the original circle.

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$A$ chord of a circle of radius $10\, cm$ subtends a right angle at the centre. Find the area of the corresponding:
$(i)$ minor segment $\&$ $(ii)$ major sector. (Use $\pi=3.14$ )