When the area in square units of an expanding circle is increasing twice as fast as its radius in linear units
2 answers:
Answer:
r=1/π
Step-by-step explanation:
Area of the circle is defined as:
Area = πr²
Derivating both sides
=2πr
=
x
= 2πr
If area of an expanding circle is increasing twice as fast as its radius in linear units. then we have :
=2
Therefore,
2πr
= 2 
r=1/π
Answer:
r = 1/π
Step-by-step explanation:
Here we have
Area of a circle given as
Area = πr²
Where:
r = Radius of the circle
When the area of the circle is expanding twice as fast s the radius we have

However,
and

Therefore, we have

Cancelling like terms

Therefore,
.
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