Question

estimate the radius of the object. round to the nearest hundredth if necessary.
c = 8.9 mm
radius: about square mm

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. 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 are given that \( C = 8.9 \) mm. Substituting this into the formula for \( r \), we get \( r=\frac{8.9}{2\pi} \).

Step3: Calculate the value of \( r \)

First, calculate \( 2\pi\approx 2\times3.1416 = 6.2832 \). Then, divide \( 8.9 \) by \( 6.2832 \): \( r=\frac{8.9}{6.2832}\approx1.42 \) (rounded to the nearest hundredth).

Answer:

1.42