Answer: G.
Step-by-step explanation:
The formula for a circle's circumference is C = 2[tex]\pi r[/tex]
r = radius
We know the rectangle ABCD has a perimeter of 72 cm.
The rectangle is divided into 6 perimeter sides: AP, PB, BC, CQ, QD, and DA.
If we divide 6 sides to the rectangle's perimeter, we can calculate the length of one side.
72 / 6 cm = 12 cm
A side of the perimeter of the rectangle ABCD is equal to 12 cm, which means PQ, the radius of the circle is equal to 12 cm.
C = 2[tex]\pi r[/tex]
radius = 12 cm
C = 2[tex]\pi[/tex] * 12 cm
C = 2 * 12 * Pi cm
C = 24[tex]\pi[/tex]
Answer = G.
Hope I Helped!
Answer:
24pi (G)
Step-by-step explanation:
This question might seem hard at first, but we know one crucial piece of information- line PQ- is the circle's radius. We also know that Q "fits perfectly" on line DC, and that angle QPB is a right angle. Since the line is straight and passes through THE MIDDLe of the rectangle, we can assume that line PQ divides the rectangle into two squares. Since squares have 4 corresponding sides, or sides with the same length, we can rewrite the equation as x+x+2x+2x, which is 6x = 72. Apply and find your answer.
EASIER EXPLANATION:
the radius is at a right angle, meaning it divides the rectangle into two squares.
It is stated that the perimeter of the rectangle is 72, meaning if we write it into an equation where x = short sides and y = long sides.
x+x+y+y = 72
However, the long sides really equal 2x, so we can rewrite the equation
x+x+2x+2x = 72
Simplify
X+x+x+x+x+x = 72
Simplify more
6x = 72
solve
x = 12
We also know that 2x is the dimeter, which is 24.
Apply to the circumference equation
C= Dpi
Since all our answeres are in pi form, we don't need to solve
ANSWER= 24