from asquare sheet of side 15cm, acircle of radius 7 cm is cut out. calculate the remaining sheet after the circle is removed
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Given :-
- Side of square sheet is 15cm.
- Radius of the circle is 7cm.
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To find :-
- Remaining sheet after the circle is removed.
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Solution :-
- In this question we have side of square sheet and radius of the circle that is cutted out of the sheet.
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Firstly, we need to find the total area of the sheet.
Since the sheet is in the shape of square.
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★ Area = Side × Side
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→ Area = 15 × 15
→ Area = 225 cm²
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Now, we will calculate the area of the circle that is cut out from the sheet.
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★ Area = πr²
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→ Area = 22/7 × 7 × 7
→ Area = 22 × 7
→ Area = 154 cm²
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For calculating the area of remaining sheet, we have to subtract the area of circle from the area of the sheet.
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→ Remaining sheet = 225 - 154
→ Remaining sheet = 71 cm²
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Hence,
- The area of the remaining sheet is 71 cm².
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