Question

find the area of the shaded portion
explain step by step​

Answer 1

Answer:

623 cm²

Step-by-step explanation:

area of shaded region=area of rectangle- area of semi circle=50×14-π×7²/2=700-77=623cm²

Answer 2

$\huge\mathfrak\red{ answer=623cm²}$

Step-by-step explanation:

Given:-

Measurements of the rectangle are 50 cm and 14 cm

diameter of the hemi circle is 14cm

To find:-

Area of the shaded portion of the figure

Given that:

Given figure contains two figures .They are rectangle with hemi circle.

Length of the rectangle (l)=50 cm

Breadth of the rectangle(b)=14 cm

Area of the rectangle (A)= l×b sq.units

Area of the rectangle =50×14=700 sq.cm

And,

diameter of the hemi circle =breadth of the rectangle =14cm

diameter(d)=14cm

radius(r)=14/2cm

radius(r)=7cm

Area of the hemi circle=πr²/2 sq.units

=>A=(22/7)×(7×7)/2 cm²

=>A=(22×7×7)/(7×2) cm²

=>A=11×7cm²

=>A=77 cm²

Now

Area of the shaded portion = Area of the rectangle+Area of the hemi circle

=>Area of the shaded portion=700-77=623 cm²

Answer:-

Area of the shaded portion =623cm²

Used formulae:-

• Area of a rectangle is "lb" sq.units
• Area of a hemi circle is πr²/2 sq.units
• π=22/7
• Diameter (d)=radius/2=r/2 units