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26/06/2021 12:54 pm
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In Figure, 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.
1 Answer
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26/06/2021 12:55 pm
Radius of the quadrant = 3.5 cm = 7/2 cm
(i) Area of quadrant OACB = (πR2)/4 cm2
= (22/7) × (7/2) × (7/2)/4 cm2
= 77/8 cm2
(ii) Area of triangle BOD = (1/2) × (7/2) × 2 cm2
= 7/2 cm2
Area of shaded region = Area of quadrant – Area of triangle BOD
= (77/8) - (7/2) cm2 = 49/8 cm2
= 6.125 cm2