Question

1. what is the radius of a circle with a circumference of 26.69 centimeters?

Explanation:

Step1: Recall the formula for the circumference of a circle

The formula for the circumference \( C \) of a circle is \( C = 2\pi r \), where \( r \) is the radius and \( \pi \approx 3.14 \). We need to solve for \( r \), so we can rearrange the formula to \( r=\frac{C}{2\pi} \).

Step2: Substitute the given circumference into the formula

We know that \( C = 26.69 \) cm and \( \pi\approx3.14 \). Substituting these values into the formula for \( r \), we get \( r=\frac{26.69}{2\times3.14} \).

Step3: Calculate the denominator first

First, calculate \( 2\times3.14 = 6.28 \).

Step4: Divide the circumference by the denominator

Now, divide \( 26.69 \) by \( 6.28 \): \( r=\frac{26.69}{6.28}\approx4.25 \) (rounded to two decimal places).

Answer:

The radius of the circle is approximately \( 4.25 \) centimeters.