SOLUTION: A circle of radius 2 rolls completely around the inside perimeter of a square of side 10. what distance is covered by the centre of the circle ? a 16 b 24 c 32 d 40

Algebra.Com
Question 293198: A circle of radius 2 rolls completely around the inside perimeter of a square of side 10. what distance is covered by the centre of the circle ?
a 16 b 24 c 32 d 40

Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
It will trace out a square who's sides
are 1 radius away from the outside square
The outside square's sides are units
apart. The inside square's sides are
smaller, so

The perimeter of a square with sides = 6 is
units
The answer is (b)


RELATED QUESTIONS

A circle of radius 10cm in inscribed in a square. What is the area of the square, not... (answered by Fombitz)
A square is inscribed inside a quadrant of a circle of radius 10 cm. Calculate the area... (answered by dabanfield)
Square ABCD has a side length of 4units. A circle of radius 2 units is centered at point... (answered by ikleyn)
a 20' by 20' square has a circle, touching all 4 sides, inside it. the radius of the... (answered by josmiceli)
Tarry is a farmer. She decides to make a circular pen for her sheep. She uses all of the... (answered by Theo)
In the problem, a square with a circumference of 5 is inside of a square. The answer to... (answered by nabla)
A circle with radius of square root of 2 units is circumscribed about a square with side... (answered by stanbon,cleomenius)
a circle is inside a square and line from left to right across with a on left side and b (answered by solver91311)
A runner runs twice around a square lot that is 59 meters on one side. What is the... (answered by checkley79)