Question

1. a circle has a radius of 4.5 units. what is its diameter?
2. can a circle with a radius of 5.2 inches have a diameter of 13 inches? circle one.

yes no
explain your thinking.

1. what is the length of the radius in the circle?
2. azuls teacher asked the class to create a circle and draw a diameter. here is azuls drawing. identify and describe the mistakes.

Explanation:

4.

Step1: Recall the formula for diameter

The formula for the diameter \(d\) of a circle in terms of the radius \(r\) is \(d = 2r\).

Step2: Substitute the given radius value

Given \(r=4.5\) units. Substitute into the formula: \(d = 2\times4.5\).

Step3: Calculate the diameter

\(2\times4.5=9\) units.

Step1: Use the diameter - radius relationship

The formula \(d = 2r\). Given \(r = 5.2\) inches, then \(d=2\times5.2\).

Step2: Calculate the diameter

\(2\times5.2 = 10.4\) inches. Since \(10.4
eq13\) inches.

Step1: Recall the radius - diameter relationship

The radius \(r\) of a circle is half of the diameter \(d\), i.e., \(r=\frac{d}{2}\).

Step2: Identify the diameter from the diagram

From the diagram, the diameter \(d = 12\) cm.

Step3: Calculate the radius

Substitute \(d = 12\) cm into \(r=\frac{d}{2}\), so \(r=\frac{12}{2}=6\) cm.

Answer:

9 units

5.