Which statement is true about the circumference of a circle? the circumference is equal to the radius of the circle. the circumference is equal to the diameter of the circle. the circumference is found by multiplying mc005-1.jpg by the radius. the circumference is found by multiplying mc005-2.jpg by the diameter.

The answer is (d) the circumference is found by multiplying pi by the diameter.

Step-by-step explanation: We are to select the correct statement from the given options that are true about the circumference of a circle.

We know that the circumference 'C' of a circle is given by

Where 'r' is the radius of the circle.

So, 2r = diameter of the circle.

Therefore, the circumference is found by multiplying pi by the diameter of the circle.

Thus, (d) is the correct option.

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240

a

step-by-step explanation: