Math

QuestionWhat is the circumference of a circle drawn with a 10-inch chain? Use π3.14\pi \approx 3.14. Options: (A) 15.70 (B) 23.14 (C) 31.40 (D) 62.80.

Studdy Solution

STEP 1

Assumptions1. The pen is attached to a table by a10-inch chain. . Jason lifted the pen, pulled the chain as far as it would reach, and then drew a circle.
3. The length of the chain represents the radius of the circle.
4. We use3.14 for π\pi.

STEP 2

The circumference of a circle is calculated by the formulaCircumference=2πrCircumference =2\pi rwhere rr is the radius of the circle.

STEP 3

Now, plug in the given value for the radius into the formula to calculate the circumference.
Circumference=2π×10Circumference =2\pi \times10

STEP 4

Calculate the circumference of the circle.
Circumference=2×3.14×10Circumference =2 \times3.14 \times10

STEP 5

Calculate the final value for the circumference.
Circumference=2×3.14×10=62.80inchesCircumference =2 \times3.14 \times10 =62.80\, inchesSo, the circumference of the circle that Jason drew is62.80 inches.

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