The circumference of a circle is directly proportional to the length of its radius, while the area it encloses is directly proportional to the square of the length of its radius. If the area of a circle is multiplied by 49, then its circumference is multiplied by ______.
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Answer:
Circumference is multiplied by 7.
Step-by-step explanation:
The circumference of a circle is directly equal to the length of its radius, while the area it surrounds is directly proportional to the square of the length of its radius. If the area of the circle is multiplied by 49
Let radius of circle=r
Area of circle = πr²
=49π inches²
⇒πr² = 49π
⇒r² = 49
⇒r = √49
=7
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