Question

In figure OACB is a quadrant of a circle with centre O and radius 3.5cm.If OD is 2cm, find the area of quadrant OACB and shaded region.​

Answer 1

Answer:

(i)

Area of quadrant OACB=  

4

Area of Circle

​  

=  

4

π×r  

2

 

​  

=  

4

1

​  

×  

7

22

​  

×3.5×3.5 =9.625cm  

2

 

(ii)

Area of the shaded region = Area of Quadrant −Area of △BDO

=9.625−(  

2

1

​  

×3.5×2)

=6.125cm  

2

Explanation: