Question

4 semi-circles are drawn assuming the sides of a rectangle as their diameters as shown in the figure. What is the perimeter of the shape?

(A) 487 cm

(B) 247 cm

(C) 127 cm (D) None​

Answer 1

Answer:

Correct option is

C

257.14cm

2

Given: Diameter of the circle: 10 cm

radius of the circle=

2

10

=5cm

∵ Diameter of the circle = Side of the square

Side of the square =10cm

Area of the square =10

2

cm

2

=100cm

2

Area of each semicircle =

2

πr

2

=

2

π(5)

2

Area of 4 semicircles =

2

π(5)

2

×4

=

7

22

×25×

2

1

×4

=

7

550

×2=157.14 cm

2

∴ Area of the figure = Area of the square + area of 4 semicircles

=100+157.14=257.14 cm

2

Step-by-step explanation:

hope the answer will help you