# if the measure of x is 45 degrees, what is the ratio of major arc aec to the circumference of the circle?

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• sphinx
Lv 4

45/360....THATS THE RATIO CZ THE WOLE CIRCLE SUBYENDS A 360 ANGLE WHILE THE ARC SUBTENDS A 45 ANGLE SO THE RATIO OF THE ARC TO CIRCUMFERENCE IS 45/360

Major arc of the given problem is (360-45)=315degrees

The ratio of major arc to the circumference of the circle is=315/360=7/8

Major arc=2pi-pi/4=7pi/4

And the circumference of the circle =2pi

Consequently, The ratio of major arc to the circumference of the circle is= (7pi/4)/2pi=7/8

1:8 (the 45/360 simplifies to 1/8)

It's like a pizza and the crust is the circumference. If you imagine cutting a piece with a 45 degree angle in the middle, then the crust of that piece is the arc. You can cut eight 45 degree pieces.

http://i50.photobucket.com/albums/f322/algerface/8...