In the adjoining figures,
arc AXC and arc AYC are
drawn with radius 8 cm
and centres as point B and
point D respectively. Find
the area of shaded region
if ABCD is a square with
side 8 cm
(4 marks)
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Given:
In the given figure, ABCD is a square with side 8 cm.
It has semi-circles drawn with its sides as diameter.
To find:
The area of the shaded region.
Solution:
Area of shaded region = Area of square - Area of 2 semi circles
= a² - πr²/2
= 8² - 22/7 × (8/2)²/2
= 64 - 22/7 × 4²/2
= 64 - 22/7 × 8
= 64 - 25.14
= 38.86 cm²
Therefore, the area of shaded region is 38.86 cm²
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