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The area of shaded portion in the adjoining figure is |
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Answer» The AREA of the shaded portion is 66 cm² Step-by-step explanation:Given :diameter of smaller circle = 4 cmdiameter of larger circle = 10 cmTo find :the area of the shaded portionSolution :First, we have to find the area of the smaller circle and area of the larger circle and then subtracting the area of smaller circle from larger circle gives us the area of the shaded portion.Area of the smaller circle :diameter, d = 4 cmradius = d/2 = 4/2 = 2 CM ➙ Area = πr²➙ Area = π(2)²➙ Area = 4π cm²Therefore, the area of the smaller circle is 4π cm²Area of the larger circle :diameter, d = 10 cmradius = d/2 = 10/2 = 5 cm ➙ Area = πr²➙ Area = π(5)²➙ Area = 25π cm²Therefore, the area of the smaller circle is 25π cm²Area of the shaded portion :➙ Area of the larger circle - area of the smaller circle➙ 25π cm² - 4π cm²➙ 21π cm²Substitute π = 22/7,➙ 21 × (22/7) cm²➙ 3 × 22 cm²➙ 66 cm²∴ Area of the shaded portion is 66 cm² |
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