6. From a circular cardboard sheet of radius 11.2
cm. Three circles of radius 1.4 cm, 2.1 cm and
4.2 cm are removed. Find the area of the
remaining cardboard sheet.
Answers
Step-by-step explanation:
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Total area of sheet = πr²
= (22/7)×11.2×11.2
= (22/7)×125.44
= 22×17.92
= 394.24 cm²
Area of 1st circle = πr²
= (22/7)×1.4×1.4
= 6.16 cm²
Area of 2nd circle = πr²
= (22/7)×2.1×2.1
= 13.86 cm²
Area of 3rd circle = πr²
= (22/7)×4.2×4.2
= 55.44 cm²
Area Of Remaining Sheet = Area Of Total Sheet - [Area Of 3 Circles]
= 394.24-(6.16+13.86+55.44) = 394.24 - 75.56
= 318.78 cm²