5. Find the area of the circle whose circumference is 264 mm.
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Answer:
- The area of the circle = 5544 m²
Given:
- Circumference of the circle is 264 m.
Need to find:
- The area of the circle = ?
Solution:
Circumference of circle = 264 m
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀2πr = 264 m
⠀⠀⠀⠀⠀⠀ ⠀2 × 22/7 × r = 264 m
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀r = 264 × 7 / 22 × 2
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀r = 42 m
Formula used here:
- Area of circle = πr²
Putting the values:
➜ Area of circle = 22/7 × 42 × 42
➜ Area of circle = 22 × 6 × 42
➜ Area of circle = 5544 m²
Therefore:
- The area of the circle is 5544 m².
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