Question

Four equal circles, each of the radius 5 cm touch each other as in fig. 14 . 30. Find the area included between them.(Take pie = 3 . 14) ​

Answer 1

Answer:

Step-by-step explanation:

Area of the shaded region = Area of square – Area of four sectors of the circles.

Side of the square, a = 5+5= 10 cm

Area of square = a*a

= 10*10

= 100 cm^2

Radius of the circles = 5cm

Area of the four sectors =

Theta/360×πr^2

= 4(90)/360×3.14×5×5

= 360/360×3.14×25

= 1×78.5

= 78.5 cm^2

Area of the shaded region = Area of square – Area of four sectors of the circles.

= 100 – 78.5

= 21.5 cm^2

Hope this helps you