Question

Plz help i need help on this i do not get it

Answer 1

We know that the area of a circle is
`A= \pi r^(2)`. The relationship between area and radius is a quadratic relationship. So we know that the ratio of the areas of the circles will be equal to the ratio of the squares of the radii of the circles.

The ratio of the squares of radii between circle 1 and 2 are
`(10^(2) )/(5^(2) )`, which is equal to four. Thus, the area of circle 1 is four times larger than the area of circle two.

Answer 2

Area of circle 1 = πr²
Area of circle 1 = π (10)²
Area of circle 1 = 100π km²

Area of circle 2 = πr²
Area of circle 2 = π (5)²
Area of circle 2 = 25π km²

Number of times the bigger circle is greater than the smaller circle

`(100 \pi )/(25 \pi ) = 4`

------------------------------------------------------------------------------------
Answer: The big circle is 4 times greater than the small circle.
------------------------------------------------------------------------------------