# 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.

#### 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

Is there an error in this question or solution?

#### APPEARS IN

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