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General

Easy

Question

# In the given figure OACB is a quadrant of a circle. The radius OA = 3.5 cm, OD = 2cm. Calculate the area of shaded portion

Hint:

### Area of a quadrant of a circle is one fourth of the area of a circle.

## The correct answer is: 6.125 cm2

### It is given that radius of the circle = 3.5 cm

Area of the circle = r^{2}

= × (3.5)^{2} = 38.5 cm^{2}

Area of quadrant of a circle = = = 9.625 cm^{2}

Now, Area of triangle OAD = × base × height

= × 3.5 × 2 = 3.5 cm^{2}

Area of shaded region

= Area of quadrant of the circle – Area of triangle

= 9.625 – 3.5 = 6.125 cm^{2}

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