Question

each picture shows two squares and a circle.
a. explain why the area of this circle is more than 2 square units but less than 4 square units.
b. explain why the area of this circle is more than 18 square units and less than 36 square units.
from unit 3, lesson 3
point a is the center of the circle, and the length of ab is 13 centimeters.
a. what is the radius of this circle?
b. what is the circumference of this circle?

Explanation:

Step1: Find the radius

The radius of a circle is the distance from the center to any point on the circle. Given that \(AB = 13\) centimeters and \(A\) is the center of the circle, the radius \(r\) of the circle is equal to the length of \(AB\).
\(r=13\) centimeters

Step2: Calculate the circumference

The formula for the circumference of a circle is \(C = 2\pi r\) or \(C=\pi d\) (where \(d = 2r\) is the diameter). Using \(r = 13\) centimeters and taking \(\pi\approx3.14\)

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Answer:

a. \(13\) centimeters
b. \(81.64\) centimeters