The area (a=pir^2) of a circle with a radius of r is given by the formula and its diameter is given by (d= 2r) arrange the equations in the correct sequence to rewrite the formula for diameter in terms of the area of the circle.

a=pi(d/2)^2
d^2=2a/pi
d=sqrt2a/pi
a=4pid^2
d=sqrt4a/pi
d^2=4a/pi
a=pid^2/4
4a=pid^2

In a small section of a stadium there are 40 spectators watching a game between the cook islands and fiji. they all support at least one of the two teams. 25 spectators support the cook islands and 16 of these support both teams. how many support only fiji?

Awindow has the shape of a rectangle with a semi circle at the top. find the approximate area of the window using the dimensions shown. 4ft by 8ft

Runners run around the school's football field. the cross country coach determines that the width of the field is seventy yards shorter than the length. part a write an expression that represents the perimeter of the football field. let x represent the length of the football field. include parentheses in your expression. next, write an equivalent expression that does not include parentheses. what property or properties did you use to simplify? explain. part b the cross country coach later determines that the length of the football field is 120 yards. all students must run five laps. using your answer from part a, determine the actual number of yards that each athlete must run in the tryouts. in order to make the team, students must complete the laps in 6 minutes. how quickly must they run each lap?