Find the area of the shaded portion.
please solve it in step step explanation
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Answer:
623cm2
Step-by-step explanation:
This figure consists of a rectangle and a half-circle inside it .
So Length of Rectangle = 50cm
Breadth of rectangle = 14cm
So area = L × B = 50 × 14 = 700cm2
Half-circle :
Diameter of the circle is 14cm(which is also the breadth of the rectangle)
So Diameter = Radius × 2
So R = D/2 = 14/2 = 7cm.
So area of the circle = πr2 = 22 × 7 × 7 (cancel 7 and 7) = 22 × 7 = 154cm2
7
So full circle area is 154cm2 , but we need the area of the half-circle , so the area is 154/2 = 77cm2
So area of shaded portion = Area of rectangle - Area of half-circle = 700CM2 - 77CM2 = 623CM2.
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623 cm²
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