1 Find the area of the shaded region in the given figure. (1) 364 cm (2) 372 cm (3) 432 cm (4) 462 cm
Answers
Step-by-step explanation:
Given :-
Radius of the circle is 14 cm
To find:-
Find the area of the shaded region in the given figure?
Solution:-
Given that :
The radius of the circle (r) = 14 cm
We know that
Area of a circle whose radius is r units is
πr² sq.units
Area of the given circle
= (22/7)×(14×14) cm²
=>22×14×2 cm²
=> 616 cm²
Area of the circle = 616 cm²
Diameter of the small semi circles
= 14 cm
Radius of the small semi circles (r) = d/2
=> r = 14/2 = 7 cm
Area of the small semi circle
= πr²/2 sq.units
=> (22/7)×(7×7)/2 cm²
=>( 22×7 )/2cm²
=> 11×7
=> 77 cm²
Area of one small semi circle = 77 cm²
Area of two small semi circles
= 2×77 cm²
= 154 cm²
Area of the shaded region =
Area of the big circle - Area of two small semi circles
=616 -154
= 462 cm²
Answer:-
Area of the shaded region for the given problem is 462 cm²
Used formulae:-
- Area of a circle = πr² sq.units
- Area of a semi - circle = πr²/2 sq.units
- Radius of a circle = Diameter/2
- π = 22/7
- r = radius of a circle
Answer:
this is the correct answer
