Foundation
Mathematics Foundation
Area of sector of a circle
Area of segment of a circle
Mensuration
Question
A rectangular sheet of cardboard is 9 cms by 6 cms. If greatest possible circle is cut off from card board, the remaining area is
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Solution
We have
Length of cardboard ℓ = 9 cm
breadth b = 6 cm
Area ℓ × b = 9 × 6 = 54 sq. cm
Now,
Diameter of greatest possible circle is
= breadth of card board
= 6 cm
∴ Radius r = 3 cm
Area of circle = πr2
= p (3)2 s.q c.m.
= 9π cm2
Remaining area = Area of cardboard – Area of circle
= (54 – 9π) cm2
= 9 (6 – π) cm2