In the figure (i) given below, calculate the area of the shaded region correct to two decimal places. (Take π = 3.142)

From figure, O is the center. In right angle triangle ABC, Using pythagoras theorem, ⇒ AC 2 = AB 2 + BC 2 ⇒ AC 2 = 5 2 + 12 2 ⇒ AC 2 = 25 + 144 = 169 ⇒ AC = = 13 cm. From figure, AC is the diameter and OA is the radius = = 6.5 cm. Area of circle = πr 2 = 3.142 × (6.5) 2 = 3.142 × 42.25 = 132.75 cm 2 . Area of rectangle = l × b = 12 × 5 = 60 cm 2 . Area of shaded region = Area of circle - Area of rectangle = 132.75 - 60 = 72.75 cm 2 . Hence, area of shaded region = 72.75 cm 2 .

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A circular field has perimeter 660 m. A plot in the shape of a square having its vertices on the circumference is marked in the field. Calculate the area of the square field.

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Mathematics

In the figure (i) given below, calculate the area of the shaded region correct to two decimal places. (Take π = 3.142)

Mensuration

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