Question

In Fig. 15.35, ABCD is a square of side 4 cm. At each corner of the square a quarter circle of radius
1 cm, and at the centre, a circle of diameter 2 cm are drawn. Find the perimeter and the area of the
shaded region.
(Take value of pie= 3.14)​

Answer 1

Solution :-

Given :-

Side of a square =4cm

Radius of a circle =1cm

Diameter of a circle=2cm

Now:- Radius= (r) we can say

According to the question :-

In the case of Square :-

Perimeter of a square :- 4*Side

Perimeter of a square :- 4*4

Perimeter of a square :- 16cm

Area of a square :- (Side) ^2

Area of a square :- (4)^2

Area of a square :- 16cm^2

In the case of a circle :-

4 quarter of a circle : a circle

Let the circles be C1 and C2.

Perimeter of 4 quarter of a circle and of a circle =2(2*pie*r)

=2(2*22/7*r)

=2(44/7)

=44/7 cm

Area of a 4 quarter of a circle and another circle =2(pie*r^2)

=2(22/7*1^2)

=2(22/7*1*1)

=2(22/7)^2

=44/7 cm^2

Now :-

Perimeter of the shaded part is

:- Perimeter of a Square -Circumference of C1+C2

:- 16 - 44/7

:- 112 - 87÷7

:- 25/7 cm or 3.57 cm

Area of the shaded part is

:- Area of a Square -Area of C1+C2

:- 16 -44/7

:- 112 -44÷7

:- 25/7 cm^2 or 3.57 cm^2

Perimeter and area of shaded part is 25/7 cm or 3.57cm and 25/7 cm^2 or 3.57 cm^2

Hope you like it and it will helpful and useful for you at any time..

Answer 2

Answer:

ans is

area=9.72

perimeter=20.56

Step-by-step explanation:

area =6.28-16

=9.72

perimeter=14.28+6.38

=20.56

thankyou