a ladder is 2 feet, a cat is on the middle rung, and the ladder is against the wall, if the ladder is moved unti it is flat on teh ground, still flat on teh wall, what is the distance(path) that the cat traveled,
HOW IS IT A QUARTER CIRCLE WITH A RADIUS 1
AND YOU TAKE QUARTER OF ITS CIRCUMFERENCE WHICH IS PI/2
I DON'T UNDERSTAND HOW IT FORMS A CIRCLE, AND HOW IS IT RADIUS OF 1, AND WHY DO YOU TAKE 1/4 THE CIRCUMFERNCE OF THE CIRCLE
EXPLAIN EACH STEP THANKS
YOU MEAN ANYTHING ON A LADDER MOVES ON A CIRCULAR MOTION
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Since the ladder is 2 feet tall and the cat is on the middle rung, the cat is 1 feet above the ground at the beginning because:
middle rung = (1 / 2) * ladder height
middle rung = (1 / 2) * 2 ft = 1 ft
The cat is traveling in an arc, so it makes a quarter circle with the radius = 1 feet.
Remember that the formula for the arc length of a circle is:
s = rθ
where s = arc length
where r = radius
where θ = central angle
Notice that the starting position and the ending position makes a 90° angle. This means your central angle θ = 90°.
You have to confirm 90° into radians.
θ = 90° * (π radians / 180°) = (π / 2) radians
The cat is 1 feet from the ground. This means that the radius r = 1 feet.
Plug these values into the equation.
s = rθ
s = (1 foot)(π / 2) radians
s = (π / 2) radian feet
s ≈ 1.57 radian feet
ANSWER: The cat travels (π / 2) radian feet ≈ 1.57 radian feet.
First word that your triangle is an certainly triangle. 10^2 + 24^2 = 26^2 one hundred + 576 = 676 So, the 26 is the longest component to the triangle. So circumscribing the triangle, we get a diameter of 26 (the longest component to the triangle) 0.5 that is 13, so the radius is 13. On 2d idea, I doubt it concerns that the longest section is the hypotenuse of an certainly triangle as both furthest factors in a triangle may want to be at 2 of the corners. So...a circle's radius may unavoidably be a million/2 the longest section. "in"scribed is "in" the triangle circumscribe is around the triangle circa skill round