Question

if the radius of each circle in the image is 6 cm what is the area in centimetre square of the quadrilateral formed by joining the centres of the circle​

Answer 1

Answer:

2

$- 84$

ok

Step-by-step explanation:

soory it is wrong

Answer 2

Answer:

The area of the quadrilateral formed is 72√3 cm².

Step-by-step explanation:

Given:

Radius of each circle (r) = 6cm

To find:

Area of the quadrilateral (A)

Solution:

Quadrilateral ABCD is a rhombus having sides 6 + 6 = 12cm

One diagonal AC = 6 + 6 = 12 cm

Quadrilateral ABCD can be split into two equilateral triangles ΔABC and ΔADC having sides 12cm.

The area of an equilateral triangle is given as (√3/4)side². Therefore, the area of an equilateral triangle with side 12 cm  = (√3/4)12² = 36√3 cm²

Area of  ΔABC =  36√3 cm²

Area of  ΔADC =  36√3 cm²

Therefore, area of  quadrilateral ABCD is given as

A = Area of  ΔABC + Area of  ΔADC

A =  36√3 +    36√3

A = 72√3 cm²

Hence, the area of the quadrilateral formed by joining the centers of the circles is 72√3 cm².

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