Question

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 !!

Answer 1

`\large\boxed{\textsf{Option D.}}`

Explanation:

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

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

`\Large\underline{\textsf{What is the Radius?}}`

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

`\textsf{a point on the \underline{circumference} of the circle. (\underline{Arc})}`

`\large\underline{\textsf{Area of a Circle:}}`

`\mathtt{Area = \pi (radius)^(2)}`

`\textsf{The Radius \underline{determines} what the area of the circle is.}`

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

`\large\boxed{\textsf{Option D.}}`