The radius of a circle is doubled. How does the area change?
1 answer:
Answer:
Area increases by a factor of 4
Step-by-step explanation:
The area (A) of a circle is calculated as
A = πr²
If the radius is doubled, that is r = 2r, then
A = π(2r)² = 4πr²
Hence the area has been increased by a factor of 4
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