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Draw a circle whose length of circumfere...

Draw a circle whose length of circumference is 44 cm with the help of compass and write the length of the diameter by measuring.

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To solve the problem of drawing a circle with a circumference of 44 cm, we need to follow these steps: ### Step-by-Step Solution: 1. **Understand the relationship between circumference and diameter**: The formula for the circumference (C) of a circle is given by: \[ C = 2 \pi r \] where \( r \) is the radius of the circle. 2. **Set up the equation with the given circumference**: We know the circumference is 44 cm, so we can write: \[ 2 \pi r = 44 \] 3. **Solve for the radius (r)**: To find the radius, we can rearrange the equation: \[ r = \frac{C}{2 \pi} \] Substituting the value of C: \[ r = \frac{44}{2 \pi} \] Using \( \pi \approx \frac{22}{7} \): \[ r = \frac{44}{2 \times \frac{22}{7}} = \frac{44 \times 7}{2 \times 22} = \frac{308}{44} = 7 \text{ cm} \] 4. **Draw the circle using a compass**: - Set the compass to a radius of 7 cm. - Place the pointed end of the compass on the paper where you want the center of the circle to be. - Rotate the compass 360 degrees to draw the circle. 5. **Measure the diameter**: The diameter (d) of a circle is twice the radius: \[ d = 2r = 2 \times 7 = 14 \text{ cm} \] Measure the diameter using a ruler to confirm it is 14 cm. ### Final Answer: - The diameter of the circle is **14 cm**.
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