9. The shaded part in the figurebelow represents a vegetablegarden bou

1.	9. The shaded part in the figurebelow represents a vegetablegarden bound by straight hedgesof length 7 m and a semi-circleWhat is the area of the garden?(Take Ď 2 )A. 10.5 m2 B. 38.5 m2C. 19.25 m2 D. 29.75 m2
Answer» Area of Garden= (Area of quarter circle with radius 7 m) - (Area of semicircle with radius 7/2 m) Then,Area of Garden= 1/4pi77 - 1/2pi7/27/2= 1/2pi(49/2 - 49/4)= 1/222/7(49/4)= 11*7/2= 77/2= 38.5 m^2 (B) is correct option

9. The shaded part in the figurebelow represents a vegetablegarden bound by straight hedgesof length 7 m and a semi-circleWhat is the area of the garden?(Take Ď 2 )A. 10.5 m2 B. 38.5 m2C. 19.25 m2 D. 29.75 m2

Answer»

Area of Garden= (Area of quarter circle with radius 7 m) - (Area of semicircle with radius 7/2 m)

Then,Area of Garden= 1/4*pi*7*7 - 1/2*pi*7/2*7/2= 1/2*pi(49/2 - 49/4)= 1/2*22/7(49/4)= 11*7/2= 77/2= 38.5 m^2

(B) is correct option