Question

The given figure represents a kite with a circular and a semicircular motifs stuck on it.
The radius of a circle is 2.5 cm and the semicircle is 2 cm. If diagonals AC and BD are
of lengths 12 cm and 8 cm respectively, find the area of the:

1) Shaded part. Give your answer correct to the nearest whole number.

2) Unshaded part

Answer 1

1) Area of the shaded part = Area of the circle + area   of the semicircle

`= pi(2.5)^2 + (pi(2)^2)/2`

`= pi[6.25+2]`

`= 22/7 [8.25]`

`~~ 26 cm^2`

2) Area of kite = `"product of the diagonals"/2` = `(AC xx BD)/2 = (12xx8)/2 = 48 cm^2`

Area of the unshaded part = Area of the kite - Area of the shaded part

= 48 - 26 

= `22 cm^2`