The circumference will be doubled if radius is doubled
The area will increase four times if radius is doubled
Step-by-step explanation:
We will solve the question in two parts.
One for circumference and one for Area
Circumference:
The formula for circumference is given by:
[tex]C = 2\pi r[/tex]
Here r is the radius.
Doubling the radius means that new radius will be 2r
The new circumference will be:
[tex]C_N = 2\pi (2r)\\C_N = 2(2\pi r)\\C_N = 2C[/tex]
Hence,
The circumference will be doubled if radius is doubled
Area:
The area of circle is given by:
[tex]A = \pi r^2[/tex]
Putting radius equal to 2r
[tex]A_N = \pi (2r)^2\\A_N = \pi (4r^2)\\A_N = 4(\pi r^2)\\A_N = 4A[/tex]
Hence,
The area will increase four times if radius is doubled
Keywords: Circle, area
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