# SAT Math: Working Backwards from a Given Arc Length to Find a Circle's Diameter

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On a circle, measures 6π meters. If this arc is half the distance around the circle, how many meters is the circle's diameter?

Additional Topics in Math | Right triangle trigonometry |

Product Type | SAT Math |

SAT | SAT Math |

SAT Math | Additional Topics in Math Geometry and Measurement |

Test Prep | SAT Math |

### Transcript

to which we poor budding mathematicians can refer well it

doesn't really matter The ark is half the distance around

the circle So it's half the circumference right So we've

got point five see equals six pie because they gave

us that right All right so then the circumference here

is twelve pie Well now that we have that the

diameter is easy As what Okay circumference is two pi

r twelve pi equals two pi r So six is

are in the diameter is twice the radius right Just

two are so we can multiply our radius there of

six by two and we get that the diameter is

twelve meters Well another way to look at this conference

formulas to just say that it's pai d instead of

two pi r because well that's the same thing And

you got to read all this carefully because they throw

curve balls at you all the time anyway All right 00:01:15.536 --> [endTime] we're done Yeah