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Mathematics 17 Online
OpenStudy (anonymous):

If the arc on a particular circle has an arc length of 12 inches, and the circumference of the circle is 48 inches, what is the angle measure of the arc?

OpenStudy (amistre64):

what is the angle of a full circle?

OpenStudy (anonymous):

360

OpenStudy (amistre64):

good then: 48 is to 360 as 12 is to, the angle of the part we need 48x = 12, will gives us 360x = angle we need, solve for x for the solution.

OpenStudy (anonymous):

so is it 90?

OpenStudy (amistre64):

the angle is 90 yes. since x = 1/4, 360/4 = 90

OpenStudy (anonymous):

So @amistre64 , If the arc on a particular circle has an arc length of 3 feet, and the angle measure of the arc is 60°, what is the circumference of the circle?

OpenStudy (amistre64):

would you agree that we have 60/360th of a circle?

OpenStudy (anonymous):

yes so i would divide 360 by 60 which is 6 then multiply 3 by 6 which is 18 so the circles circumference is 18

OpenStudy (amistre64):

correct

OpenStudy (anonymous):

In the diagram, point O is the center of the circle and mADB = 43°. If mAOB = mBOC, what is mBDC?

OpenStudy (anonymous):

@amistre64

OpenStudy (anonymous):

i honestly dont know where to start

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