Question

16. Two circles are drawn inside a big circle with diameters
2/3rd and 1/3rd of the diameters of the
big circle as shown in Fig. 18. Find the area of the shaded portion, if the length of the diameter of the circle
of the circle is 18 cm.​

Answer 1

Given:

Two circles are drawn inside a big circle with diameters  2/3rd and 1/3rd of the diameters of the  big circle.

To Find:

The area of the shaded portion, if the length of the diameter of the circle

of the circle is 18 cm.​

Answer:

• Let r be the radius of bigger circle , r = 9cm
• radius of second bigger circle = 2r/3 = 6cm
• radius of third circle = r/3 = 3cm
• Area of bigger circle = πr² = 81π
• Area of second circle  = π(2r/3)² = 36π
• Area of third circle = π(r/3)² = 9π

Therefore

• area of the shaded region = 81π - 36π - 9π = 36π

Answer 2

Step-by-step explanation:

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