Answer:
(b) Circle C is shown. Line segment A C is a radius with length 7 centimeters.
Step-by-step explanation:
Given
[tex]Minimum\ Area = 135cm^2[/tex]
[tex]Maximum\ Area = 155cm^2[/tex]
[tex]\pi = 3.14[/tex]
Required
Which circle could she use
To do this, we simply calculate the areas of all the given circles
The area of a circle is:
[tex]Area = \pi r^2[/tex]
Where
[tex]r = radius[/tex]
[tex]a.\ r = 6cm[/tex]
The area is calculated as thus:
[tex]Area = \pi r^2[/tex]
[tex]Area = 3.14 * (6cm)^2[/tex]
[tex]Area = 3.14 * 36cm^2[/tex]
[tex]Area = 114.04cm^2[/tex]
[tex]b.\ r = 7cm[/tex]
The area is calculated as thus:
[tex]Area = \pi r^2[/tex]
[tex]Area = 3.14 * (7cm)^2[/tex]
[tex]Area = 3.14 * 49cm^2[/tex]
[tex]Area = 153.86cm^2[/tex]
[tex]c.\ r = 8cm[/tex]
The area is calculated as thus:
[tex]Area = \pi r^2[/tex]
[tex]Area = 3.14 * (8cm)^2[/tex]
[tex]Area = 3.14 * 64cm^2[/tex]
[tex]Area = 200.96cm^2[/tex]
[tex]d.\ r = 9cm[/tex]
The area is calculated as thus:
[tex]Area = \pi r^2[/tex]
[tex]Area = 3.14 * (9cm)^2[/tex]
[tex]Area = 3.14 * 81cm^2[/tex]
[tex]Area = 254.34cm^2[/tex]
From the calculations above; only the circle in option (b) has an area within the required range of 135 to 155cm^2
