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  • In Fig, OACB is a quadrant of a circle with centre O and radius 3.5 cm. If OD = 2 cm, find the area of the (ii) shaded region.

12.  In Fig, OACB is a quadrant of a circle with centre O and radius 3.5 cm. If OD = 2 cm, find the area of the

(ii) shaded region.

Answers (1)

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For the area of the shaded region, we need to find the area of the triangle.

The area of the triangle is =\ \frac{1}{2}\times 3.5\times 2=\ 3.5\ cm^2

The area of the quadrant  =\ \frac{90^{\circ}}{360^{\circ}}\times \pi \times 3.5^2 =\ \frac{77}{8}\ cm^2

Hence the area of the shaded region is  =  Area of quadrant   -  Area of triangle 

 =\ \frac{77}{8}\ -\ 3.5

=\ \frac{49}{8}\ cm^2

Posted by

Devendra Khairwa

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