Question

WILL MARK BRAINLIEST...The diagram shows four congruent circles with centres A, B, C and D touching one another. A small circle is placed in the centre so that it touches each of the four circles. given that ABCD is a square of area 36 cm², find the circumference of the small circle.​

Answer 1

Answer:

Step-by-step explanation:

Using the Pythagorean's theorem,

DO²=DG²+GO²=3²+3²=2*3²

DO=3√2

JO=DO-DJ=3√2-3=3(√2-1)

$Circonference=2*\pi*3*(\sqrt{2} -1)=6*\pi*(\sqrt{2} -1)$ (cm)

≈7,8077... (cm)