Question

Can someone help me with this as well? (I think I put 50 points for whoever answers this? ) Pls and ty!

I suck at math lol

Answer 1

24pi (G)

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

Answer 2

Answer: G.

Explanation:

The formula for a circle's circumference is C = 2
`\pi r`

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
`\pi r`

radius = 12 cm

C = 2
`\pi` * 12 cm

C = 2 * 12 * Pi cm

C = 24
`\pi`

Answer = G.

Hope I Helped!