Question

From a circular sheet of a radius of 14 cm, a circle of radius 7 cm is removed. Find the area of the remaining sheet.

Answer 1

Step-by-step explanation:

area of remaining sheet=22/7*(14^2-7^2)

=22/7*(14-7)(14+7)

=22/7 *7*21

=22*21=462cm2

Answer 2

Given data : A circle of radius 7 cm is removed from a circular sheet of radius 14 cm.

To find : Find the area of the remaining sheet ?

Solution : Here we use formula of area of circle,

⟹ Area of circle = πr²

{Here, r = radius and π = 22/7 (3.14)}

⟹ Area of circle = 22/7 * (7)²

⟹ Area of circle = 22/7 * 49

⟹ Area of circle = 22 * 7

⟹ Area of circle = 154 cm²

Similarly,

⟹ Area of circular sheet = πr²

⟹ Area of circular sheet =22/7 * (14)²

⟹ Area of circular sheet = 22/7 * 196

⟹ Area of circular sheet = 22 * 28

⟹ Area of circular sheet = 616 cm²

Now,

⟹ Area of remaining sheet = Area of circular sheet - Area of circle

⟹ Area of remaining sheet = 616 - 154

⟹ Area of remaining sheet = 462 cm²

Answer : Area of remaining circular sheet is 462 cm².

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