Question

Find the area of the combined figure given, formed by joining a semicircle of diameter 6 cm with a triangle of base 6 cm and height 9 cm. (π = 3.14)

Answer 1

Area of the figure = Area of the semicircle of radius 3 cm + 2 (Area of triangle with b = 9 cm and h = 3 cm)

= `(1/2 pi"r"^2) + (2 xx 1/2 "bh") "sq. units"`

= `1/2 xx 3.14 xx 3 xx 3 + (2 xx 1/2 xx 9 xx 3)  "cm"^2`

= `(28.26)/2 + 27  "cm"^2`

= 14.13 + 27 cm² 

= 41.13 cm²

∴ Area of the figure = 41.13 cm² ...(approximately)