The radius of circle B is bigger than that of the circle A.
What is a circle?
A circle is a collection of all points in a plane which are at a constant distance from a fixed point. A circle is a round-shaped figure that has no corners or edges.
For the given situation,
Circumference of circle A = 14 units
Area of circle B = 16 square units
Take π = 3.14
The formula of circumference of circle is
[tex]C=2\pi r[/tex]
Now for circle A,
⇒ [tex]2\pi r=14[/tex]
⇒ [tex]2(3.14)r=14[/tex]
⇒ [tex]6.28r=14[/tex]
⇒ [tex]r=\frac{14}{6.28}[/tex]
⇒ [tex]r=2.229[/tex] ≈ [tex]2.23[/tex]
Now for circle B,
The formula of area of circle is
[tex]A=\pi r^{2}[/tex]
⇒ [tex]16=3.14r^{2}[/tex]
⇒ [tex]r^{2} =\frac{16}{3.14}[/tex]
⇒ [tex]r^{2} =5.0955[/tex]
⇒ [tex]r=\sqrt{5.0955}[/tex]
⇒ [tex]r=2.257[/tex] ≈ [tex]r=2.26[/tex]
Here, [tex]2.26 > 2.23[/tex]
Hence we can conclude that the radius of circle B is bigger than that of the circle A.
Learn more about circles here
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