Kristin draws a different circle. The radius of Kristin's circle is 1/2 the radius of Ben's circle. Which statement is true about Kristin's
circle?
O A The area of Kristin's circle is 2 times the area of Ben's circle.
OB. The area of Kristin's circle is 4 times the area of Ben's circle.
C. The area of Kristin's circle is 1/4 the area of Ben's circle.
D. The area of Kristin's circle is 1/2 the area of Ben's circle
Help please hurry !!

Answers

Answer 1

Answer:

[tex]\large\boxed{\textsf{Option D.}}[/tex]

Step-by-step explanation:

[tex]\textsf{For this problem, we are asked to compare the areas between Kristin's and Ben's circle.}[/tex]

[tex]\textsf{To start, we should know that the Radius plays an important role for the area.}[/tex]

[tex]\Large\underline{\textsf{What is the Radius?}}[/tex]

[tex]\textsf{The \underline{Radius} is a \underline{line segment} that starts at the \underline{center} of the circle, and ends at}[/tex]

[tex]\textsf{a point on the \underline{circumference} of the circle. (\underline{Arc})}[/tex]

[tex]\large\underline{\textsf{Area of a Circle:}}[/tex]

[tex]\mathtt{Area = \pi (radius)^{2}}[/tex]

[tex]\textsf{The Radius \underline{determines} what the area of the circle is.}[/tex]

[tex]\textsf{Because Kristin's radius is 1/2 of Ben's radius, \underline{the area will be 1/2 of Bens}.}[/tex]

[tex]\large\boxed{\textsf{Option D.}}[/tex]


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