Question

Four equal circles, each of radius a units, touch each other.Show that the area between them is (6/7 a2) sq.Units.

Answer 1

Answer:

Area between circles is 6/7 a².

Step-by-step explanation:

Let circles be with centres A, B, C, D

Join A, B, C and D then ABCD is square formed with side = (a + a) = 2a

Radius = a

Area between circles = area of square – 4(area of quadrant)

(shaded region)

= (2a)²−4(1/4 area of circle with radius ′a′)

= 4a²- 4 (1/4)× a²

= a² (4-π)

= a² ( 4-22/7)

= (28-22/7)a²

= 6/7 a².

∴ Area between circles is 6/7 a².

i hope it will helps you friend