Question #1cea0

1 Answer
Dec 23, 2016

The answer is =1 =1 sq units

Explanation:

Area of circle =pir^2=πr2

:. pir^2=pi

radius r=1

AC=sqrt(1+1)=sqrt2

Area of sector ACB =1/2*r^2*theta

theta =AhatCB=90º=pi/2 rad

Area of sector ACB =1/2(sqrt2)^2*pi/2=pi/2

Area of Delta ABC=1/2*2*1=1

Area of segment =pi/2-1

Half area of circle (diameter AB) =pi/2

Area of shaded part = Half area of circle -area of segment

=pi/2-(pi/2-1)=pi/2-pi/2+1=1