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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Mathematics

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

Mensuration

Related Questions

A student takes a rectangular piece of paper 30 cm long and 21 cm wide. Find the area of the biggest circle that can be cut out from the paper. Also find the area of the paper left after cutting out the circle.

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