A city along the edge of a river is semi-circular shaped with a radius 16 miles. In each case below, determine the shape of the strip that would be appropriate for the given population density. Then write a definite integral to represent the total population in the city.

(a) The population density is p(x) = -20x + 500 people per square mile where x is the distance in miles from the center of the city.

(b) The population density is p(x) = 175 people per square mile where x is the vertical distance in miles from the river.

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.

do you have the measurements?

-2

7 - 9 = -2

reversed:

-2 + 9 = 7