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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
Solution
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`
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