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In the Given Figure, Oabc is a Quadrant of a Circle of Radius 3.5 Cm with Centre O. If Od = 2 Cm, Find the Area of the Shaded Portion. - Mathematics

Sum

In the given figure, OABC is a quadrant of a circle of radius 3.5 cm with centre O. If OD = 2 cm, find the area of the shaded portion.

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Solution

Area of the right-angled `Delta COD = 1/2xx"b"xx"h"`

`=1/2xx3.5xx2 = 3.5  "cm"^2`

Area of the sector  AOC`=theta/360xxpixx"r"^2`

`=90/360xx22/7xx(3.5)^2`

= 9.625 cm2  

Area of the shaded region = Area of the ΔCOD - Area of the sector AOC

= 9.625 - 3.50

= 6.125 cm

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APPEARS IN

RS Aggarwal Secondary School Class 10 Maths
Chapter 18 Area of Circle, Sector and Segment
Exercise 18A | Q 34 | Page 822
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