Question

14 which of the following is true about the circumference of a circle if the diameter of the circle is doubled? it will stay the same. it will be half. it will double. it will triple.

Explanation:

Step1: Recall the formula for the circumference of a circle.

The formula for the circumference \( C \) of a circle is \( C = \pi d \), where \( d \) is the diameter of the circle.

Step2: Analyze the effect of doubling the diameter.

Let the original diameter be \( d_1 \), so the original circumference \( C_1=\pi d_1 \). If the diameter is doubled, the new diameter \( d_2 = 2d_1 \). Then the new circumference \( C_2=\pi d_2=\pi(2d_1) = 2\pi d_1 \).

Step3: Compare the new and original circumferences.

We can see that \( C_2 = 2C_1 \), which means the circumference will double when the diameter is doubled.

Answer:

It will double.