# In Fig. 12.30, OACB is a quadrant of a circle with centre O and radius 3.5 cm. If OD = 2 cm, find the area of the(i) Quadrant OACB(ii) Shaded region.

(i) Since OACB is a quadrant, it will subtend 90° angle at O

Area of quadrant OACB = * r2

= * * (3.5)2

= * * ()2

=

= cm2

(ii) Area of ΔOBD = * OB * OD

= * 3.5 * 2

= * * 2

= cm2

Area of the shaded region = Area of quadrant OACB - Area of ΔOBD

= -

=

= cm2

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