Question

Areas of Plane Figures
229
The adjacent figure consists of four
half circles and two quarter circles.
IFOA=OB=OC=OD=14 cm.
Find the area of the shaded region​

Answer 1

Answer:

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Step-by-step explanation:

Given: OA=OB=OC=OD=14cm.

Area of shaded region=2×(Area of arc ODB+Area of semi-circle OD-Area of semi-circle OB)

=2×{π×14  ×  90  / 360 + ( π×7 ^2) / 2 −  (π×7^2) / 2 }

= ( 2×π×14 ^2) / 4

=98π=307.88 cm ^2

Note : ^ indicates as square