Question

FIND THE AHE SHADED AREA OF THE SHADED REGION

Answer 1

Answer:

side of square =14cm

Area of larger Square =side

2

=14

2

=196cm

2

There are four semi circle that means we have two complete circles of diameter of 2xcm

then we can observe that

3+x+2x+x+3=14

i.e., x=2

so radius of circle is 2cm

Area of non shaded region=area of two circle + area of square of side 4cm

= 2.pi.r

2

+side

2

= 25.12+16

= 41.12cm

2

Hence,

Required area of shaded region =196−41.12=154.88cm

2

.

Answer 2

Answer:

The diameter of the small semi-circles(unshaded) =14cm each

There fore radius =7cm (*14/2)

Therefore area of unshaded region=

${\pi \: r}^{2} \div 2$

=>22/7×7×7÷2

=>11×7×2 (Multiplied by 2 becoz there are 2 similar semi-circles)

${154}^{2}$

Now the diameter of the bigger semi-circle=28cm

therefore radius =14cm

Area of the bigger semi-circle = 22/7×14×14÷2 (same formula as above)

=>22×14

${308}^{2}$

The area of the Shaded region =

${(308 - 154)cm}^{2} \\ {144cm}^{2}$

Answer =>

${144}^{2}$