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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Question

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

KnowledgeBoat · Accepted Answer

From figure, O is the center. In right angle triangle ABC, Using pythagoras theorem, ⇒ AC² = AB² + BC² ⇒ AC² = 5² + 12² ⇒ AC² = 25 + 144 = 169 ⇒ AC = = 13 cm. From figure, AC is the diameter and OA is the radius = = 6.5 cm. Area of circle = πr² = 3.142 × (6.5)² = 3.142 × 42.25 = 132.75 cm². Area of rectangle = l × b = 12 × 5 = 60 cm². Area of shaded region = Area of circle - Area of rectangle = 132.75 - 60 = 72.75 cm². Hence, area of shaded region = 72.75 cm².

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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