Diagonals of a square intercept each other in a 90° angle. The four triangles resulting from diagonal interception are equal and are isosceles triangles, with hipotenuse a side of the square

Therefore we apply Pythagoras theorem

Let x be side of square, and r radius of the circle, ( diagonals touch the circle) then

x² = r² + r²

x² = 2r²

x = √2 * r

Now Aea of square is :

A = L² where L is square side

A(r) = √2 * r

Domain of A(r) = R { r, r > 0}

6 0

3 years ago

The 2017 population of California was 39536653 and of Arizona was 7016270. Compute and compare the rate of pedestrian fatalities

jasenka [17]

Answer:

The pedestrian fatality rate for California per 100,000 residents would be;

= (858/39,536,653) * 100,000

= 2.17 people per 100,000

In Arizona that figure is;

= (216/7,016,270) * 100,000

= 3.08 people per 100,000

This shows that even though California has a higher number of pedestrian fatalities in absolute terms, when this figure is made relative to population, Arizona has more pedestrian fatalities.

6 0

3 years ago