SAT Math 11.3 Geometry and Measurement. How far does a point on the outside of the circle travel?

Additional Topics in Math | Circle theorems |

Circles | Circumference |

Geometry | Circles |

Product Type | SAT Math |

SAT Math | Geometry and Measurement |

Got it? Let's get to it.

To figure this thing out, we need to know the circumference of the wheel.

To calculate the circumference, we multiply pi by the diameter of the circle.

Since we know the radius of the circle is 6 inches, we can just double that to get the diameter,

which in this case, is 12 inches. So to get the circumference, we just need

to multiply 12 inches by pi.

So let's do it. Twelve inches multiplied by 3.14, gives the wheel a circumference of 37.68 inches.

But…we’re not done yet.

The wheel turns four times, so we need to multiply 37.68 by four,

which will give us the total distance that the wheel travels in four rotations.

Some quick calculations…and we've got a distance traveled of 150.72 inches.

Since we’re rounding to the nearest whole number, the answer is 151 inches.

And one quick note before we ride our unicycle into the sunset…

To find the circumference of a circle, we can either multiply the diameter of the circle

by pi, or we can multiply the radius of the circle by pi and then multiply that by two.

Since the diameter is equal to twice the radius, the answer is the same.

Alright, now let's hop on that magnificent one-wheeled contraption and…

…ride like the wind?