If $r_{1} = 9 c m$ and $r_{2} = 5 c m$ , then find the area of the shaded region. (Use $π = \frac{22}{7}$ )
176

Open in App

Solution

The correct option is A 176
Given,
Radius $r_{1} = 9 c m$
Radius $r_{2} = 5 c m$
$A r e a o f t h e c i r c l e = π r^{2} c m^{2}$

$A r e a o f t h e c i r c l e = π r_{1}^{2}$
$= π 9^{2} c m^{2}$
$= 81 π c m^{2}$

$A r e a o f t h e c i r c l e = π r_{2}^{2}$
$= π 5^{2} c m^{2}$
$= 25 π c m^{2}$

$A r e a o f t h e s h a d e d r e g i o n = 81 π c m^{2} - 25 π c m^{2} = 56 π c m^{2}$
$= \frac{22}{7} \times 56 c m^{2}$
$= 176 c m^{2}$

Suggest Corrections

Similar questions

Q. If

r_{1} = 9 c m

and

r_{2} = 5 c m

, then find the area of the shaded region. (Use

π = \frac{22}{7}

)

Q. In given figure, OABC is square of side

7

cm. If OAPC is a quadrant of a circle with center O, then the find the area of the shaded region. (Use

π

= \frac{22}{7}

Find the area of the shaded region (in $c m^{2}$ ) as shown in figure of the two concentric circles with centre O and radius 7 $c m$ and 14 $c m$ respectively. Given $∠$ AOC = $40^{\circ}$ .
(use $π$ = $\frac{22}{7}$ )

Q. In the figure, find the area of the shaded region, enclosed between two concentric circles of radii

7

cm and

14

cm where

∠ A O C = 40^{\circ} .

Consider

π = \frac{22}{7} .

Q. Find the area of the shaded region in fig., if

A C = 24 c m, B C = 10 c m

and

O

is the centre of the circle. [Use

π = \frac{22}{7}

]

Join BYJU'S Learning Program

If r1=9 cm and r2=5 cm, then find the area of the shaded region. (Use π=227)176

The correct option is A 176Given, Radius r1=9 cm Radius r2=5 cm Area of the circle=πr2 cm2 Area of the circle=πr21 =π 92 cm2 =81π cm2 Area of the circle=πr22 =π 52 cm2 =25π cm2 Area of the shaded region=81π cm2−25π cm2=56π cm2 =227×56 cm2 =176 cm2

If $r_{1} = 9 c m$ and $r_{2} = 5 c m$ , then find the area of the shaded region. (Use $π = \frac{22}{7}$ )
176