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Anna35 [415]
3 years ago
10

The radius of a circle of area a and circumference c is doubled. find the new area of the circle in terms of

Mathematics
1 answer:
maksim [4K]3 years ago
3 0
By definition, the circumference of a circle is:
 c = 2 * pi * r

 The area of a circle is:
 a = pi * r ^ 2

 Where,
 r: radius of the circle.
 When the radius is double, then the new area is:
 A = \pi*(2r)^2

 Rewriting we have:
 A = 4 * \pi * r ^ 2

 In terms of a we have:
 A = 4 * a
 Answer:
 
The new area of the circle in terms of a is:
 
A = 4 * a
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