a cooper wire in the form of a circle,encloses an area of 616 cm square,find its area.
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Answer:
- The measure of perimeter of the circle is 88cm
Step-by-step explanation:
Given:
- A copper wire encloses an area of 616cm²
To Find:
- the perimeter of the circle
Formulas Used:
- Perimeter of a circle = 2πr
- Area of a circle = πr²
According to the question:
→ Area of a circle = πr²
→ 616cm² = 22/7 × r²
→ r² = 616cm² × 7 / 22
→ r² = 196cm²
→ r = √196cm²
→ r = 14cm
Henceforth:
- The radius of the circle is 14cm
Perimeter of the circle:
→ Perimeter of the circle = 2πr
→ Perimeter of the circle = 2 × 22/7 × 14cm
→ Perimeter of the circle = 44/7 × 14cm
→ Perimeter of the circle = 88cm
Therefore:
- The measure of perimeter of the circle is 88cm
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