Given that the area of a circle varies as the square of its radius and that the area of the circle is 616sq. cm when the radius is 14 cm find the area of circle whose radius is 5.25 cm About the author Josephine
Answer: If area of a circle varies with square of radius. It means it is direct variation. As we know in direct variation: [tex] \frac{x}{y} = k[/tex] So, [tex] \frac{616}{14²} = \frac{x}{5.25²} [/tex] [tex] \frac{22}{7} = \frac{10000x}{275625} [/tex] [tex] \frac{22 \times 275625}{7 \times 10000} = x[/tex] x = 86.625cm² Area of circle is 86.625cm². Mark me brainliest. Reply
Answer:
If area of a circle varies with square of radius.
It means it is direct variation.
As we know in direct variation:
[tex] \frac{x}{y} = k[/tex]
So,
[tex] \frac{616}{14²} = \frac{x}{5.25²} [/tex]
[tex] \frac{22}{7} = \frac{10000x}{275625} [/tex]
[tex] \frac{22 \times 275625}{7 \times 10000} = x[/tex]
x = 86.625cm²
Area of circle is 86.625cm².
Mark me brainliest.