Question

in the given figure ABCD is a diameter of a circle radius 6 CM the length AB BC and CD are equal. Two semicircles are drawn by taking every and radius diameter find the area of the shaded region​

Answer 1

Answer:

.............

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Answer 2

Step-by-step explanation:

Since, length of AB,BC and CD are equal

Radius of the circle = 6 cm

Now, AD = 2×6 = 16 cm

= AB + BC + CD = 12

= 3 AB = 12

= AB = 12/3

= AB = 4 cm

= AB = BC = CD = 4 cm

Radius of semicircle AB = 2cm

Radius of semicircle BC = 4cm

Radius of semicircle AD = 6cm

Area of shaded region = Area of semicircle (AB+AD) - Area of semicircle (BD)

= Area of shaded region = 0.5π(2+6) - 0.5π(4)2

= Area of shaded region = 0.6π(4+36) - 0.5π×16

= Area of shaded region = 20π - 8π

= Area of shaded region = 12π cm