Question

Find the area of shaded region. ​

Answer 1

Answer:

186.29 cm^2

Step-by-step explanation:

radius = 20/2= 10

area of circle = πr^2

= 22/7*10*10

= 2200/7 cm^2

area of trapezium= 1/2(12+20)*8

=1/2*32*8

=32*4

=128 cm^2

area of shaded region=2200/7 - 128

=1304/7

=186.29 cm^2

Answer 2

$\huge\bold{\mathtt{Question⇒}}$

Find the area of the shaded region.

$\huge\bold{\mathtt{Solution⇒}}$

The diameter of the circle = $20$ cm

So, radius of the circle

= $(\frac{20}{2})$ cm = $10$ cm

We know that:

$\boxed{Area\:of\:circle = πr²}$

So, area of the circle

= $(π×10²)$ cm²

= $({\frac{22}{7}}×10²)$ cm²

= $({\frac{22}{7}}×10×10)$ cm²

= $({\frac{2200}{7}})$ cm²

We know that:

$\boxed{Area\:of\:trapezium = {\frac{22}{7}}×(Sum\:of\:parallel\:sides)×(Distance\:between\:them)}$

So, area of the trapezium

= $[{\frac{1}{2}}×(12+20)×8]$ cm²

= $({\frac{1}{2}}×32×8)$ cm²

= $({\frac{1}{\cancel{2}}}×32×\cancel{8})$ cm²

= $[(32×4)]$ cm²

= $128$ cm²

Area of shaded region

= $({\frac{2200}{7}}-128)$ cm²

= $({\frac{2200-896}{7}})$ cm²

= $({\frac{1304}{7}})$ cm²

= $186{\frac{2}{7}}$ cm²

$\huge\bold{\mathtt{Therefore⇒}}$

The area of shaded region is $186{\frac{2}{7}}$ cm².

$\huge\bold{\mathtt{Done}}$

$\large\bold{\mathtt{Hope\:this\:helps\:you.}}$

$\large\bold{\mathtt{Have\:a\:nice\:day.}}$